Question

What is the value of b in the equation below? 9 Superscript negative 8 Baseline times 9 Superscript negative 2 Baseline = a Superscript b Negative 10 Negative 6 9 16

Answer 1

-10

Explanation:

Answer 2

-10

Explanation:

The applicable rule of exponents is ...

(a^b)(a^c) = a^(b+c)

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Here, you have a=9, b=-8, c=-2 (in the above) and you want the value of b+c.

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

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Compared to the form a^b, we see a=9, b=-10.