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Popular >

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

Solution

simplify

(e^{x})^{8} e^{- 8 x}

Solution

1

Solution steps

(e^{x})^{8} e^{- 8 x}

(e^{x})^{8} : e^{x \cdot 8}

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Refine

= 1

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Frequently Asked Questions (FAQ)

What is (e^x)^8e^{-8x} ?
The solution to (e^x)^8e^{-8x} is 1