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7th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    If \[{{\left( \frac{3}{2} \right)}^{2}}\times {{\left( \frac{3}{2} \right)}^{a+5}}={{\left( \frac{3}{2} \right)}^{8}},\]then a=____.

    A)  \[-1\]                          

    B)  0                    

    C)         1                    

    D)         2                    

    Correct Answer: C

    Solution :

    \[{{\left( \frac{3}{2} \right)}^{2}}\times {{\left( \frac{3}{2} \right)}^{a+5}}={{\left( \frac{3}{2} \right)}^{8}}\] \[\Rightarrow \]  \[{{\left( \frac{3}{2} \right)}^{a+7}}={{\left( \frac{3}{2} \right)}^{8}}\] On comparing, we get, \[a+7=8\Rightarrow a=1\]


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