Question

What is the value of b in the equation below? 9^-8 x 9^-2 = a^b

-10
-6
9
16

Answer 1

Your answer is the first option, -10

Laws of Indices states that a^b x a^c = a^(b + c), therefore 9^-8 x 9^-2 = 9^(-8 - 2) = 9^-10

Answer 2

-10

Explanation:

9^-8 x 9^-2 = a^b

We know that x^y * x^z = x^(y+z)

9^-8 x 9^-2 = 9^(-8+-2) = 9^(-10)

a= 9

b = -10