Law 2 Division of Exponents


 
 
Concept Explanation
 

Law 2 Division of Exponents

If we have to divide the powers which have the same base then we have to subtract the exponents. i.e.

frac{a^m}{a^n}=a^{m- n}

Example:

1.;;frac{7^9}{7^3}=7^{9-3}=7^6

2.;; frac{8^5}{8^7}=8^{5-7}=8^-^2=frac{1}{8^2}

3. ;; frac{8^5}{2^4}=frac{(2^3)^5}{2^4}=frac{2^1^5}{2^4}=2^{15-4}=2^1^1

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Sample Questions
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Question : 1

Evaluate the expression large dpi{150} 3^2X2^3/(3^3X2^4)

Right Option : B
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Question : 2

The square root of 64 divided by the cube root of 64 is ________________

Right Option : B
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Explanation
Question : 3

For and two non-zero rational number a and b, large a^4 div b^4 is equal to  _____________________

Right Option : C
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Explanation
 
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