(3)-2 Evaluate exponent

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

7 0

Answer:

$3^{-2} = \dfrac{1}{9}$

Step-by-step explanation:

Definition of negative exponent:

$a^{-n} = \dfrac{1}{a^n}$

In our case, a = 3 and -n = -2.

$3^{-2} = \dfrac{1}{3^2}$

Now we just evaluate the power in the denominator.

$3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9}$

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