Question

14.
Find the value of m so that
2/9^3 * 2/9^-6 * = 2/9^2m^-1
​

Answer 1

Answer:

m=-15 is the correct answer

(2/9)^3 × (2/9)^-6= (2/9)^(2m)^-1

(2/9)^-3 = (2/9)^0.2m

now comparing the powers on bother sides we get

0.2m = -3

Therefore, m=-15

if you have any doubts please do ask in the comments below