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question_answer1)
Find the value of\[\sqrt[3]{343}\times \sqrt[3]{-64}.\]
A)
28 done
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B)
-28 done
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C)
18 done
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D)
-18 done
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question_answer2)
Which of the following statements is false?
A)
\[{{(-1)}^{n}}=-1,\] if 'n' is an odd integer. done
clear
B)
For any rational number \[a,{{a}^{o}}=1.\] done
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C)
If \[4\times {{8}^{m}}={{2}^{5}}\]then m = 1. done
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D)
\[{{(27)}^{\frac{1}{3}}}={{\left( \frac{1}{3} \right)}^{-1}}.\] done
clear
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question_answer3)
If \[{{2}^{a}}+{{3}^{b}}=43\]and \[{{2}^{a+3}}-{{3}^{b+1}}=47,\]find the respective values of 'a' and 'b'.
A)
4, 3 done
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B)
3, 4 done
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C)
16, 27 done
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D)
2, 6 done
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question_answer4)
Find the value of \[\frac{1}{{{(216)}^{-\frac{2}{3}}}}+\frac{1}{{{(256)}^{-\frac{3}{4}}}}+\frac{1}{{{(32)}^{-\frac{1}{5}}}}.\]
A)
102 done
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B)
105 done
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C)
107 done
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D)
109 done
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question_answer5)
Find the value of 'x', if\[{{(18)}^{3.5}}\div {{(27)}^{3.5}}\times {{6}^{3.5}}={{2}^{x}}.\]
A)
3.5 done
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B)
4.5 done
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C)
6 done
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D)
7 done
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question_answer6)
If \[{{5}^{x-1}}+{{5}^{x+1}}=3250,\] find the value of x.
A)
3 done
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B)
4 done
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C)
2 done
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D)
1 done
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question_answer7)
Simplify \[\frac{{{5}^{n+2}}-{{6.5}^{n+1}}}{{{13.5}^{n}}-{{2.5}^{n+1}}}.\]
A)
\[\frac{-2}{3}\] done
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B)
\[\frac{-5}{3}\] done
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C)
\[\frac{7}{3}\] done
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D)
\[\frac{8}{3}\] done
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question_answer8)
Find the value of \[{{(16)}^{0.16}}\times {{(16)}^{0.09}}.\]
A)
1 done
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B)
2 done
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C)
4 done
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D)
3 done
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question_answer9)
Find the value \[x\]in the expression \[\sqrt{{{\left( \frac{3}{5} \right)}^{1-2x}}}=4\frac{17}{27}.\]
A)
\[\frac{3}{2}\] done
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B)
\[\frac{5}{2}\] done
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C)
\[\frac{7}{2}\] done
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D)
\[\frac{9}{2}\] done
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question_answer10)
Simplify \[{{2012}^{3}}\times {{2012}^{-3}}.\]
A)
2012 done
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B)
1 done
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C)
0 done
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D)
-1 done
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question_answer11)
If \[81\times 81\times 81\times 81=9x,\]what is the value of \['x'\,?\]
A)
9 done
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B)
10 done
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C)
12 done
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D)
20 done
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question_answer12)
Find the value of \[{{2012}^{o}}+{{2013}^{o}}.\]
A)
0 done
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B)
1 done
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C)
-1 done
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D)
2 done
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question_answer13)
Simplify \[\frac{{{\left( a+\frac{1}{b} \right)}^{x}}\times {{\left( a-\frac{1}{b} \right)}^{y}}}{{{\left( b+\frac{1}{a} \right)}^{x}}{{\left( b-\frac{1}{a} \right)}^{y}}}.\]
A)
\[\frac{a}{b}\] done
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B)
\[{{\left( \frac{a}{b} \right)}^{x}}\] done
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C)
\[{{\left( \frac{a}{b} \right)}^{y}}\] done
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D)
\[{{\left( \frac{a}{b} \right)}^{x+y}}\] done
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question_answer14)
By what number should we multiply \[{{(-8)}^{-1}}\]to obtain a product equal to \[{{10}^{-1}}?\]
A)
\[\frac{-1}{5}\] done
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B)
\[\frac{-4}{5}\] done
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C)
\[\frac{-3}{5}\] done
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D)
\[\frac{-2}{5}\] done
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question_answer15)
Find the value of \[({{2013}^{o}}-{{2012}^{o}})\times (2013+2012).\]
A)
4025 done
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B)
1 done
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C)
0 done
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D)
-1 done
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question_answer16)
If \[{{a}^{x}}=b,\,{{b}^{y}}=C,\,{{C}^{z}}=a,\]find the value of \[xyz.\]
A)
0 done
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B)
1 done
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C)
-1 done
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D)
2 done
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question_answer17)
What is the value of \[{{20}^{-3}}\times {{25}^{2}}\times {{20}^{3}}\times {{25}^{-4}}?\]
A)
\[\frac{1}{625}\] done
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B)
\[\frac{1}{400}\] done
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C)
400 done
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D)
625 done
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question_answer18)
Find \['x'\]such that \[{{9}^{x+2}}={{3}^{3x-1}}.\]
A)
7 done
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B)
6 done
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C)
5 done
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D)
4 done
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question_answer19)
Find the value of \[\frac{{{a}^{m+n}}\times {{a}^{n+l}}\times {{a}^{l+m}}}{{{({{a}^{m}}\times {{a}^{n}}\times {{a}^{l}})}^{2}}}.\]
A)
0 done
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B)
-1 done
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C)
\[4+m\] done
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D)
1 done
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question_answer20)
Which of the following is the exponential form of \[\frac{{{20}^{-2}}\times {{20}^{-2}}\times {{20}^{-2}}}{20}?\]
A)
\[{{20}^{-5}}\] done
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B)
\[{{20}^{-6}}\] done
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C)
\[~{{20}^{-7}}~\] done
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D)
\[~{{20}^{-1}}~\] done
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question_answer21)
What is the value of \[\frac{1}{1+{{a}^{(n-m)}}}+\frac{1}{1+{{a}^{(m-n)}}}?\]
A)
\[{{a}^{m-n}}\] done
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B)
\[{{a}^{n-m}}\] done
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C)
\[-1\] done
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D)
1 done
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question_answer22)
Simplify \[({{6}^{1}}-{{8}^{-1}})+{{({{2}^{-1}}-{{3}^{-1}})}^{-1}}.\]
A)
40 done
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B)
30 done
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C)
20 done
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D)
50 done
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question_answer23)
If \[{{x}^{{{m}^{2}}-6}}={{x}^{19}},\]find the value of ?m?.
A)
6 done
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B)
7 done
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C)
5 done
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D)
3 done
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question_answer24)
If \[{{3}^{x}}=27,\]what is the value of \[{{3}^{x-3}}?\]
A)
0 done
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B)
1 done
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C)
2 done
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D)
3 done
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question_answer25)
Find the value of \[{{(-1)}^{2013}}.\]
A)
0 done
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B)
-1 done
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C)
1 done
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D)
2 done
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question_answer26)
If \[\sqrt{{{9}^{x}}}=81.\]find the value of \[x.\]
A)
2 done
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B)
4 done
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C)
3 done
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D)
9 done
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question_answer27)
Find the value of \[(0.0001){{(0.0001)}^{\frac{3}{4}}}.\]
A)
0.1 done
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B)
0.01 done
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C)
0.001 done
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D)
0.0001 done
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question_answer28)
If \[{{2}^{x-y}}=16\]and \[{{2}^{x+y}}=64,\]find the values of \[x\]and \[y.\]
A)
3, 2 done
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B)
4, 2 done
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C)
\[5,1\] done
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D)
\[6,3\] done
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question_answer29)
What is the product of \[\left( \frac{{{x}^{a}}}{{{x}^{b}}} \right).\left( \frac{{{x}^{c}}}{{{x}^{a}}} \right).\left( \frac{{{x}^{b}}}{{{x}^{c}}} \right)?\]
A)
-1 done
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B)
1 done
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C)
0 done
clear
D)
\[{{x}^{a+b+c}}\] done
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question_answer30)
Find the value of \[{{(256)}^{0.16}}\times {{(256)}^{0.09}}.\]
A)
4 done
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B)
16 done
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C)
64 done
clear
D)
256.25 done
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question_answer31)
Identify the value of \[1-{{(-0.3)}^{3}}.\]
A)
0.73 done
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B)
0.973 done
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C)
1.027 done
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D)
1.27 done
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question_answer32)
If \[{{a}^{m+n}}={{a}^{mn}}.\]find the value of \[m(n-2)+n(m-2).\]
A)
1 done
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B)
-1 done
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C)
0 done
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D)
½ done
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question_answer33)
Find the value of \[{{81}^{\frac{3}{4}}}\times {{64}^{\frac{-2}{3}}}\div {{({{3}^{6}}\times {{2}^{4}})}^{\frac{1}{2}}}.\]
A)
\[\frac{1}{8}\] done
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B)
\[\frac{1}{16}\] done
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C)
\[\frac{1}{12}\] done
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D)
\[\frac{1}{64}\] done
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question_answer34)
What is the value of \[{{5}^{333}}+{{25}^{222}}-{{125}^{1111}}-{{625}^{111}}?\]
A)
1 done
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B)
25 done
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C)
125 done
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D)
0 done
clear
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question_answer35)
If \[{{\left( \frac{1}{5} \right)}^{3\gamma }}=0.008,\]find the value of \[{{(0.25)}^{\gamma }}.\]
A)
1.00 done
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B)
0.25 done
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C)
0.0625 done
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D)
0.125 done
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question_answer36)
If\[x={{a}^{m+n}}{{b}^{l}},y={{a}^{n+l}}{{b}^{m}},z={{a}^{l+m}}{{b}^{n}},\]find \[{{x}^{m-n}}\times {{y}^{n-l}}\times {{z}^{l-m}}.\]
A)
0 done
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B)
-1 done
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C)
1 done
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D)
2 done
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question_answer37)
If \[\frac{{{4}^{5}}+{{4}^{5}}+{{4}^{5}}+{{4}^{5}}}{{{2}^{5}}+{{2}^{5}}}\times \frac{{{6}^{5}}+{{6}^{5}}+{{6}^{5}}+{{6}^{5}}+{{6}^{5}}+{{6}^{5}}}{{{3}^{5}}+{{3}^{5}}+{{3}^{5}}}={{8}^{n}},\]find the value of ?n?.
A)
1 done
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B)
2 done
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C)
3 done
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D)
4 done
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question_answer38)
Find the value of \[\frac{{{(243)}^{0.13}}\times {{(243)}^{0.07}}}{{{(7)}^{0.25}}\times {{(49)}^{0.075}}\times {{(343)}^{0.2}}}.\]
A)
\[\frac{3}{7}\] done
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B)
\[\frac{7}{3}\] done
clear
C)
\[1\frac{3}{7}\] done
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D)
\[2\frac{2}{7}\] done
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question_answer39)
If \[{{4}^{44}}+{{4}^{44}}+{{4}^{44}}+{{4}^{44}}={{4}^{x}},\]what is the value of \['x'\,?\]
A)
45 done
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B)
44 done
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C)
176 done
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D)
11 done
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