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morpeh [17]
3 years ago
15

What is the value of xx) = 9^x when x= -2?A. 1/81B. 81C. 1/81D. 18​

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

Answer:

C. 9^{-2} = \frac{1}{81}

Step-by-step explanation:

Given

9^{x}

Required

Find the expression where x - 2

9^{x}

Substitute 2 for x

9^{-2}

From law of indices which states

a^{-b} = \frac{1}{a^b}

So, the expression becomes

9^{-2} = \frac{1}{9^2}

Expand the denominator

9^{-2} = \frac{1}{9 * 9}

9^{-2} = \frac{1}{81}

Hence, 9^{x} is \frac{1}{81} when x = 2

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