Question

If a is a rational number and m and n are positive integers, then a m X a
n
=________________.

Answer 1

SOLUTION

CORRECT QUESTION

If a is a rational number and m and n are positive integers, then

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

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

If a is a rational number and m and n are positive integers, then

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

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Answer 2

Answer:

If a is a rational number and m and n are positive integers, then a m X a

Step-by-step explanation:

n=_____________