simplify e^{-7}*7^8

Solution

simplify

e^{- 7} \cdot 7^{8}

\frac{5764801}{e ^{7}}

Decimal Notation

5256.81806 \dots

Solution steps

e^{- 7} \cdot 7^{8}

Apply exponent rule:

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

= 7^{8} \cdot \frac{1}{e ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 7 ^{8}}{e ^{7}}

Multiply:

1 \cdot 7^{8} = 7^{8}

= \frac{7 ^{8}}{e ^{7}}

7^{8} = 5764801

= \frac{5764801}{e ^{7}}

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