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Popular >

simplify (3^{-2})^4

Solution

simplify

(3^{- 2})^{4}

Solution

\frac{1}{6561}

+1

Decimal Notation

0.00015 \dots

Solution steps

(3^{- 2})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{- 2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= 3^{- 8}

Apply exponent rule:

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

3^{- 8} = \frac{1}{3 ^{8}}

= \frac{1}{3 ^{8}}

3^{8} = 6561

= \frac{1}{6561}

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Frequently Asked Questions (FAQ)

What is (3^{-2})^4 ?
The solution to (3^{-2})^4 is 1/6561