Question

Find the value of m

(
`(2)/(9)^ {4}`×
`(2)/(9)^(-7)`=
`(2)/(9)^(2m+1)`

Answer 1

-2.

Explanation:

(2/9)^4 * (2/9)^-7 = (2/9)^-3 so

(2/9)^-3 = (2/9)^(2m+1)

So -3 = 2m + 1 ( as the base 2/9 is common to both sides of the equation)

2m = -4

m = -2.