Law 4 Power of Exponents


 
 
Concept Explanation
 

Law 4 Power of Exponents

  • If we have to take the power of power then we have to multiply the exponents i.e.  (a^{m})^{n}=a^{mn}
  • If we have to divide the powers where the base is different but exponents are the same then we will divide the base. i.e.
  •            left ( frac{a^{m}}{b^{m}} right )=left ( frac{a}{b} right )^{m}

    Illustration:  Evaluate (3^{3})^{5}

    Solution: The given expression is (3^{3})^{5}

                  As we know that (a^{m})^{n}=a^{mn}

                  Hence,(3^{3})^{5}=(3)^{15}

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    Sample Questions
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    Question : 1

    large sqrt[3]{{829}-{486}}  =___________________________.

    Right Option : C
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    Explanation
    Question : 2

    On simplification   frac{5^{4}}{5^{2}}=__________________

    Right Option : B
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    Explanation
    Question : 3

    large begin{Bmatrix} begin{pmatrix}frac{1}{3} end{pmatrix}^2end{Bmatrix}^4is equal to  _____________________

    Right Option : C
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    Explanation
     
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