Question

Find the value of 'm'
6^m÷6^-2=6^-3

Answer 1

Answer: -5

Step-by-step explanation:

6^m÷6^-2=6^-3

6^(m+2) = 6^-3

m+2 = -3

m = -5

Answer 2

$Question:$

Find the value of 'm'

if $6^{m}$ ÷ $6^{-2}$ = $6^{-3}$

$Solution:$

$6^{m}$ ÷ $6^{-2}$ = $6^{-3}$

⇒  $6^{m-(-2)}$ = $6^{-3}$

⇒ m+2=-3

∴ m = -5

Thanks...