Question

If (2/3 to the power of-5) 2/3 to the power of-11 = 2/3 to the power of 8x then find the value of x.

Answer 1

(2/3)^-5 X (2/3)^-11 = (2/3)^8x

Here, the base are same so the powers will add , so ,

[2/3]^-5+(-11) = (2/3)^ 8x

(2/3)^-16 = (2/3)^8x

By comparing,

-16 = 8x

x = -2