Question

a^m x a^n is equal to ? ​

Answer 1

Answer :-

a^m x a^n = a^m+n

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Answer 2

SOLUTION

TO EVALUATE

$\sf{ {a}^{m} \times {a}^{n} }$

EVALUATION

Here the given expression is

$\sf{ {a}^{m} \times {a}^{n} }$

We simplify it as below

$\sf{ {a}^{m} \times {a}^{n} }$

$\sf{ = (a \times a \times a \times ... \: \: m \: times) \times (a \times a \times a \times ... \: \: n \: times)}$

$\sf{ = a \times a \times a \times ... \: \: (m + n) \: times}$

$\sf{ = {a}^{m + n} }$

FINAL ANSWER

$\sf{ {a}^{m} \times {a}^{n} = {a}^{m + n} }$

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