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Popular >

simplify (3^{-4})^{1/2}

Solution

simplify

(3^{- 4})^{\frac{1}{2}}

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

(3^{- 4})^{\frac{1}{2}}

Apply exponent rule:

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

= 3^{- 4 \cdot \frac{1}{2}}

- 4 \cdot \frac{1}{2} = - 2

= 3^{- 2}

Apply exponent rule:

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

3^{- 2} = \frac{1}{3 ^{2}}

= \frac{1}{3 ^{2}}

3^{2} = 9

= \frac{1}{9}

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Frequently Asked Questions (FAQ)

What is (3^{-4})^{1/2} ?
The solution to (3^{-4})^{1/2} is 1/9