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Popular >

simplify (4^{-4})^2

Solution

simplify

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

Solution

\frac{1}{65536}

+1

Decimal Notation

0.00001 \dots

Solution steps

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

Apply exponent rule:

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

= 4^{- 4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 4^{- 8}

Apply exponent rule:

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

4^{- 8} = \frac{1}{4 ^{8}}

= \frac{1}{4 ^{8}}

4^{8} = 65536

= \frac{1}{65536}

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Frequently Asked Questions (FAQ)

What is (4^{-4})^2 ?
The solution to (4^{-4})^2 is 1/65536