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 ]

.... (More Text Available, Login?)
Sample Questions
(More Questions for each concept available in Login)
Question : 1

Evaluate 7^{4}times8^{4}

Right Option : B
View Explanation
Explanation
Question : 2

Evaluate:

left ( frac{1}{7} right )^{6}timesleft ( frac{1}{13} right )^{6}timesleft ( frac{3}{5}right )^{6}

Right Option : D
View Explanation
Explanation
Question : 3

The value of (0.000064)^{frac{5}{4}}times(0.04)^{frac{5}{4}};;is:

Right Option : B
View Explanation
Explanation
 
 
 
Related Videos
Language - English
Language - English
Language - English

Language - English
Language - English


Students / Parents Reviews [20]