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

Simplify: left ( frac{3}{4} right )^{-6}times left ( frac{3}{4} right )^{-2}

Right Option : A
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Question : 2

large frac{-3}{2}^{-1} is equal to __________________--

Right Option : B
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Question : 3

Evaluate: large dpi{150} (4^2X2^{-3})/4^2

Right Option : B
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