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Question

am×an is equal to


A

am+n

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B

am-n

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C

amn

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D

an-m

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Solution

The correct option is A

am+n


Since the base a is same and power m and n are different.

When we multiply two numbers with same base but different powers, then according to law of exponents the base remains same and power adds.

Therefore,

am×an=(a)m+n

So, am×an=am+n.

Hence, the correct option is (a).


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