6th Class Mathematics Exponents and Power Question Bank Exponent and Powers

  • question_answer 15) Simplify and leave the answer in the exponent form\[{{\left( \frac{3}{5} \right)}^{-30}}\times {{\left( \frac{5}{3} \right)}^{-30}}.\]

    A) \[\frac{3}{5}\]                        

    B)  \[{{1}^{1}}\]

    C)  \[{{\left( \frac{3}{5} \right)}^{-60}}\]                    

    D)  \[{{\left( \frac{5}{3} \right)}^{-60}}\]

    Correct Answer: B

    Solution :

    \[{{\left( \frac{3}{5} \right)}^{-30}}\times {{\left( \frac{5}{3} \right)}^{-30}}={{\left( \frac{5}{3} \right)}^{30}}\times {{\left( \frac{5}{3} \right)}^{-30}}\] \[={{\left( \frac{5}{3} \right)}^{30-30}}={{\left( \frac{5}{3} \right)}^{0}}=1={{1}^{1}}\]

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