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

If 7^{(x-y)} =343 and 7^{(x+y)} =2401, then x is equal to________.

 

Right Option : D
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Question : 2

Simplify and write each of the following in exponential form:   frac{(25)^3}{5^3}

Right Option : B
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Question : 3

Express in exponential form : large frac{4X2^4X3^5}{8X3^2}

Right Option : C
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