simplify 8^8e^{-8}

Solution

simplify

8^{8} e^{- 8}

\frac{16777216}{e ^{8}}

Solution steps

8^{8} e^{- 8}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

8^{8} = 16777216

= \frac{16777216}{e ^{8}}

\frac{3 ^{x}}{7 ^{x}}

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\frac{4 x + 1}{x ^{2} + 3}