Question

15.Find the value of m if: (a
)(6)^(2m)-:(6)^(-3)=(6)^(5)​

Answer 1

Answer:

m=1

Step-by-step explanation:

${(6)}^{2m} \div {(6)}^{ - 3} = {(6)}^{5} \\ = > {(6)}^{2m - ( - 3)} = {(6)}^{5} \\ = > {(6)}^{2m + 3} = {(6)}^{5}$

Comparing both sides,

Bases are same.

Therefore,

$2m + 3 = 5 \\ = > 2m = 5 - 3 \\ = > 2m = 2 \\ = > m = \frac{2}{2} \\ = > m = 1$