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8th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    Find the value of given expression: \[{{\left( \frac{5}{9} \right)}^{(-2)}}\times {{\left( \frac{3}{5} \right)}^{\left( -2 \right)}}\times {{\left( \frac{3}{5} \right)}^{(0)}}\]

    A)  10                               

    B)  9     

    C)  20                               

    D)  30

    Correct Answer: B

    Solution :

    (b): \[{{\left( \frac{5}{9} \right)}^{-2}}\times {{\left( \frac{3}{5} \right)}^{-2}}\times {{\left( \frac{3}{5} \right)}^{0}}\] \[=\frac{{{5}^{(-2)}}}{{{9}^{(-2)}}}\times \frac{{{3}^{(-2)}}}{{{5}^{(-2)}}}\times 1=\frac{{{9}^{2}}}{{{3}^{2}}}=9.\]


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