Question

What will be the value of m, so that
(4/9)^3 × (4/9)^6) = (4/9)^2m-1

Answer 1

Answer:

The value of m will be 5.

Explanation:

Let us suppose (4/9) be x

Then we have,

x^3 X x^6 = x^2m-1

or, x^6+3 = x^2m-1

or, x^9 = x ^2m-1

By equating powers we get,

9 = 2m -1

or, 10 = 2m

Therefore, m = 5.

Hope it helps :)