Simplification of Exponents and Power


 
 
Concept Explanation
 

Simplification of Exponents and Power

To simplify the exponents, we have some laws. These laws together can be used to covert exponent in the simplest form.

1. a^{m}times a^{n}=a^{m+n}

2.  frac{a^{m}}{a^{n}}=a^{m-n}

3. frac{1}{a^{m}}=a^{-m}

4. frac{a^{m}}{a^{n}}=left ( frac{a}{b} right )^{m}

5. left ( a^{m} right )^{n}=a^{mn}=left ( a^{n} right )^{m}

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Sample Questions
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Question : 1

Simplify and express in exponential form: ((3^2)^3times 2^6)times 5^6

Right Option : D
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Question : 2

Find the values of n in the following : 9times3^n = 3^7

Right Option : A
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Question : 3

Evaluate the expression   :   large dpi{150} (2)^-^4X2^6/2^{-6}X2^{-6}

Right Option : C
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