Law 3 Inverse of Exponents


 
 
Concept Explanation
 

Law 3 Inverse of Exponents

Negative exponents can be converted into positive exponents. frac{1}{a^m}=a^-^m

Example:

1.;;frac{1}{9^5}=9^-^5

2. ;;13^-^3=frac{1}{13^3}

Illustration: Express 8^{-5} as a positive exponent.

Solution: 8^{-5}=frac{1}{8^{5}}

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Sample Questions
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Question : 1

large begin{pmatrix}frac{-3}{2} end{pmatrix}^{-1}  is equal to  ____________________

Right Option : C
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Question : 2

10^{-1}  is equal to ?

Right Option : D
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Question : 3

The value of (large (7^-^1-8^-^1)^{-1}-(3^{-1}-4^{-1})^{-1} is

Right Option : D
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