simplify 8^8e^{-8}

Solution

simplify

8^{8} e^{- 8}

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

Decimal Notation

5628.12896 \dots

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}}

5 \times 5 \times 5

(1 + e^{- x})^{- 2}

(3 a^{2}) (5 ab)

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