Product of base when exponent is same


 
 
Concept Explanation
 

Product of Base when Exponent is Same

x^{m}times y^{m}=(xtimes y)^{m}

Where x, y are non - zero rational numbers and m is any integer.

Illustration: Evaluate 7^{-3}times 8^{-3}

Solution:  Using the law x^{m}times y^{m}=(xtimes y)^{m}  , we have

               7^{-3}times 8^{-3}=(7times 8)^{-3}

                                       =(56)^{-3}

                                      =frac{1}{(56)^{3}}                                    left [ because x^{-m}=frac{1}{x^{m}} right ]

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Sample Questions
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Question : 1

Evaluate  large Rightarrow 8^{frac{1}{2}} times 15^{frac{1}{2}}

Right Option : B
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Explanation
Question : 2

Evaluate large dpi{150} 7^{1/2}X13^{1/2}

Right Option : D
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Explanation
Question : 3

Using laws of exponents, simplify and write the answer in exponential form: 3^7times 2^7

Right Option : B
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Explanation
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