Question

Find the value of 'm'
6^m÷6^-2=6^-3

Answer 1

this is your answer

Answer 2

Identities used :

${a}^{m} \div {a}^{n} = {a}^{m - n}$



${6}^{m} \div {6}^{ - 2} = {6}^{ - 3} \\ \\ {6}^{m - ( - 2)} = {6}^{ - 3} \\ \\ {6}^{m + 2} = {6}^{ - 3}$

Since bases are equal, powers will be equal :

$m + 2 = - 3 \\ \\ m = - 3 - 2 \\ \\ \bf m = - 5$

Hope it helps! ;))