7th Class Mathematics Exponents and Power Question Bank

done Exponent and Powers Total Questions - 20

• question_answer1)
  What is the value of\[(1{}^\circ \times 2{}^\circ )\times {{5}^{2}}\]?
  A)
   25 done clear
  B)
   0 done clear
  C)
   \[-25\] done clear
  D)
   1 done clear
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• question_answer2)
  Which of the following values are equal?

  (i)\[{{1}^{3}}\]	(ii)\[{{4}^{0}}\]
  (iii)\[{{0}^{4}}\]	(iv) \[{{3}^{1}}\]

  A)
   (i) and (ii)      done clear
  B)
   (ii) and (iii)      done clear
  C)
   (i) and (iii)                  done clear
  D)
   (i) and (iv) done clear
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• question_answer3)
  What is the sum of the powers of the prime factors in\[72\times 192\]?
  A)
   5                                 done clear
  B)
   7            done clear
  C)
   8                                 done clear
  D)
   12 done clear
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• question_answer4)
  Express \[{{\left( -3 \right)}^{4}}\div {{n}^{4}}\] in the form\[{{\left( \frac{a}{b} \right)}^{n}}\].
  A)
  \[\frac{-24}{{{n}^{3}}}\]                            done clear
  B)
   \[{{\left( -\frac{3}{n} \right)}^{4}}\] done clear
  C)
   \[\frac{{{\left( -2 \right)}^{4}}}{{{n}^{4}}}\]                 done clear
  D)
  \[\left( \frac{-3}{n} \right)\times \left( \frac{-3}{n} \right)\] done clear
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• question_answer5)
  Express \[\underline{a\times a\times a}\] \[\times \] \[\underline{c\times c\times c\times c}\] \[\times \] \[b\] \[\times \] \[b\] in exponential form.
  A)
   \[{{a}^{3}}{{c}^{3}}{{b}^{3}}\]                           done clear
  B)
   \[{{a}^{3}}{{c}^{3}}b\] done clear
  C)
   \[{{a}^{3}}{{c}^{3}}{{b}^{2}}\]                    done clear
  D)
   \[{{a}^{3}}{{c}^{4}}{{b}^{2}}\] done clear
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• question_answer6)
  Which of the following statements is correct?
  A)
   \[{{({{2}^{3}})}^{2}}\] and \[{{({{3}^{2}})}^{4}}\] are not the same done clear
  B)
   \[{{({{2}^{3}})}^{2}}\] and \[{{({{3}^{4}})}^{2}}\]are the same done clear
  C)
  \[{{({{6}^{49}})}^{2}}={{6}^{492}}\] done clear
  D)
  \[{{({{8}^{7}})}^{3}}={{8}^{10}}\] done clear
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• question_answer7)
  What is the value of\[{{2}^{4}}\times {{5}^{3}}\]
  A)
   2453                           done clear
  B)
   2000          done clear
  C)
   11200            done clear
  D)
   10000000 done clear
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• question_answer8)
  What is the result of\[\frac{{{2}^{1}}\times {{3}^{2}}\times {{3}^{3}}}{{{1}^{2}}\times {{4}^{2}}}?\]
  A)
   \[\frac{243}{8}\]                                done clear
  B)
  \[42\] done clear
  C)
  \[\frac{46}{16}\]                                 done clear
  D)
  \[48\] done clear
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• question_answer9)
  Express \[\frac{729\times 64}{270}\] as a product of prime factors in a exponential form.
  A)
   \[\frac{{{2}^{6}}\times {{3}^{4}}}{27}\]                             done clear
  B)
   \[\frac{{{2}^{5}}\times {{3}^{3}}}{5}\] done clear
  C)
  \[\frac{{{2}^{5}}\times {{3}^{3}}}{{{5}^{3}}}\]                      done clear
  D)
   \[\frac{{{2}^{6}}\times {{3}^{2}}}{{{5}^{2}}}\] done clear
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• question_answer10)
  The value \[\frac{{{\left( -\frac{1}{2} \right)}^{5}}}{\left( -\frac{1}{2} \right)}\div \frac{\left( -\frac{1}{8} \right)}{\left( -\frac{1}{4} \right)}\]is
  A)
   1                                 done clear
  B)
   2 done clear
  C)
   3                                 done clear
  D)
  \[-1\] done clear
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• question_answer11)
  The value of\[{{\left( \frac{8}{125} \right)}^{\frac{-4}{3}}}\]
  A)
   \[\frac{625}{16}\]                            done clear
  B)
  \[\frac{125}{16}\] done clear
  C)
  \[\frac{16}{25}\]                                               done clear
  D)
  \[\frac{-625}{16}\] done clear
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• question_answer12)
  Cube of \[\left( -\frac{1}{9} \right)\] is............
  A)
   \[\left( \frac{-1}{729} \right)\]                done clear
  B)
  \[\frac{1}{963}\] done clear
  C)
  \[\frac{1}{850}\]                                               done clear
  D)
   \[\left( \frac{1}{729} \right)\] done clear
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• question_answer13)
  If \[{{3}^{x}}=300,\] then the value of \[{{3}^{x-2}}\] is
  A)
  \[\frac{200}{11}\]                               done clear
  B)
  \[\frac{1}{963}\]           done clear
  C)
  \[\frac{100}{3}\]                     done clear
  D)
  \[\frac{300}{2}\] done clear
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• question_answer14)
  Find the numerical value of\[{{\left( 4096 \right)}^{\frac{-1}{4}}}.\]
  A)
   16                               done clear
  B)
   8            done clear
  C)
   4                                 done clear
  D)
   1 done clear
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• question_answer15)
  Simplify and leave the answer in the exponent form\[{{\left( \frac{3}{5} \right)}^{-30}}\times {{\left( \frac{5}{3} \right)}^{-30}}.\]
  A)
  \[\frac{3}{5}\]                         done clear
  B)
   \[{{1}^{1}}\] done clear
  C)
   \[{{\left( \frac{3}{5} \right)}^{-60}}\]                     done clear
  D)
   \[{{\left( \frac{5}{3} \right)}^{-60}}\] done clear
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• question_answer16)
  Find the numerical value of\[{{16}^{0.75}}\]
  A)
   8                                 done clear
  B)
   32            done clear
  C)
  \[{{2}^{-3}}\]                       done clear
  D)
   \[{{4}^{-3}}\] done clear
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• question_answer17)
  Express \[{{6}^{2}}\times {{7}^{-4}}\times ({{8}^{-2}})\times {{6}^{3}}\times {{({{7}^{2}})}^{2}}\times {{8}^{4}}\] in the simplest exponential form.
  A)
  \[{{6}^{5}}{{7}^{2}}\]                            done clear
  B)
  \[{{6}^{5}}\] done clear
  C)
  \[{{6}^{-5}}{{7}^{2}}\]                           done clear
  D)
  \[{{6}^{-5}}{{7}^{-2}}\] done clear
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• question_answer18)
  Solve  \[{{81}^{2x}}={{\left( 729 \right)}^{2}}\]
  A)
  \[x=\frac{3}{4}\]                               done clear
  B)
  \[x=\frac{2}{3}\] done clear
  C)
  \[x=\frac{5}{6}\]                               done clear
  D)
  \[x=\frac{3}{2}\] done clear
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• question_answer19)
  The value of \[x\] so that \[{{\left( \frac{2}{7} \right)}^{4}}.{{\left( \frac{2}{7} \right)}^{3}}={{\left( \frac{2}{7} \right)}^{4x-1}}\] is
  A)
   1                                 done clear
  B)
   2           done clear
  C)
   3                                 done clear
  D)
   4 done clear
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• question_answer20)
  The speed of light is \[300,\] \[000,\] \[000\,\,m{{s}^{-1}}\]. Express it in standard form.
  A)
  \[3.0\times {{10}^{8}}\,\,m{{s}^{-1}}\]   done clear
  B)
  \[3.0\times {{10}^{10}}\,\,m{{s}^{-1}}\]   done clear
  C)
  \[3.0\times {{10}^{6}}\,\,m{{s}^{-1}}\]   done clear
  D)
  \[3.0\times {{10}^{12}}\,\,m{{s}^{-1}}\] done clear
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