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Popular >

simplify e^{-2}((e^{8x})/8)

Solution

simplify

e^{- 2} (\frac{e ^{8 x}}{8})

Solution

\frac{e ^{8 x - 2}}{8}

Solution steps

e^{- 2} (\frac{e ^{8 x}}{8})

Apply exponent rule:

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

= \frac{1}{e ^{2}} \cdot \frac{e ^{8 x}}{8}

Multiply fractions:

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

= \frac{1 \cdot e ^{8 x}}{e ^{2} \cdot 8}

Multiply:

1 \cdot e^{8 x} = e^{8 x}

= \frac{e ^{8 x}}{8 e ^{2}}

Apply exponent rule:

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

\frac{e ^{8 x}}{e ^{2}} = e^{8 x - 2}

= \frac{e ^{8 x - 2}}{8}

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Frequently Asked Questions (FAQ)

What is e^{-2}((e^{8x})/8) ?
The solution to e^{-2}((e^{8x})/8) is (e^{8x-2})/8