Question

Find the value of m

($\frac{2}{9}^ {4}$×$\frac{2}{9}^{-7}$=$\frac{2}{9}^{2m+1}$

Answer 1

Answer:

-2.

Step-by-step 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.