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Question

Match the powers of '3' with their corresponding reduced powers.

A
36
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B
39
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C
36
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Solution

By using law of exponent:
ambm=(ab)m Here a and b is called the base and m is called the exponent.
(155)6=36

By using law of exponent:
(am)n=amn Here a is called the base and m,n are called the exponent. For Power of power exponents are multiplied if the base is same.
(33)2=36

By using law of exponents:
am× bm=(ab)m
here a and b are base, and m is the exponent.
33×93=273
=(3×3×3)3
=(33)3
=39

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