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Popular >

simplify (3^{-4})^4

Solution

simplify

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

Solution

\frac{1}{43046721}

+1

Decimal Notation

2.32306 E - 8

Solution steps

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

Apply exponent rule:

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

= 3^{- 4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= 3^{- 16}

Apply exponent rule:

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

3^{- 16} = \frac{1}{3 ^{16}}

= \frac{1}{3 ^{16}}

3^{16} = 43046721

= \frac{1}{43046721}

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Frequently Asked Questions (FAQ)

What is (3^{-4})^4 ?
The solution to (3^{-4})^4 is 1/43046721