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15 January, 00:20

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

-10

-6

9

16

+2
Answers (2)
  1. 15 January, 02:26
    0
    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
  2. 15 January, 02:43
    0
    -10

    Step-by-step 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
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