Question

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

×



=……..​

Answer 1

SOLUTION

COMPLETE 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

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

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ find the value of x (2) 5) -³×(2/5) ^18=(2/5)^10x

https://brainly.in/question/47348923

2. If (-2)m+1 × (-2)4 = (-2)6 then value of m =

https://brainly.in/question/25449835