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Popular >

simplify e^{-1}(1/4)^4

Solution

simplify

e^{- 1} (\frac{1}{4})^{4}

Solution

\frac{1}{256 e}

+1

Solution steps

e^{- 1} (\frac{1}{4})^{4}

Apply exponent rule:

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

= (\frac{1}{4})^{4} \frac{1}{e}

(\frac{1}{4})^{4} = \frac{1}{4 ^{4}}

= \frac{1}{e} \cdot \frac{1}{4 ^{4}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{e 4 ^{4}}

Multiply the numbers:

1 \cdot 1 = 1

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

4^{4} = 256

= \frac{1}{256 e}

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Frequently Asked Questions (FAQ)

What is e^{-1}(1/4)^4 ?
The solution to e^{-1}(1/4)^4 is 1/(256e)