Question

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

Answer 1

Step-by-step explanation:

question

solution

by using exponential law

before solving look at one property

using this property we will find

answer

value of m =1

Answer 2

Answer:

Step-by-step explanation:

(6)^2m ÷ (6)^-3 = (6)^5

⇒ (6)^2m ÷ [ 1 / (6)^3 ] = (6)^5 (∵ a)^-m= 1/(a)^m )

⇒ (6)^2m × (6)^3 = (6)^5

⇒(6)^2m+3 = (6)^5 ( ∵ Bases are equal then powers should be add )

⇒2m + 3 = 5 ( ∵ Bases are equal then powers should be equal )

⇒2m = 5 - 3

⇒2m = 2

⇒m = 2/2

⇒m = 1 is the answer