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Popular >

simplify e^{-7}(7^6)/(6!)

Solution

simplify

e^{- 7} \frac{7 ^{6}}{6 !}

Solution

\frac{117649}{720 e ^{7}}

+1

Decimal Notation

0.14900 \dots

Solution steps

e^{- 7} \frac{7 ^{6}}{6 !}

Apply exponent rule:

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

= \frac{1}{e ^{7}} \cdot \frac{7 ^{6}}{6 !}

Multiply fractions:

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

= \frac{1 \cdot 7 ^{6}}{e ^{7} \cdot 6 !}

Multiply:

1 \cdot 7^{6} = 7^{6}

= \frac{7 ^{6}}{e ^{7} \cdot 6 !}

7^{6} = 117649

= \frac{117649}{e ^{7} \cdot 6 !}

e^{7} \cdot 6! = 720 e^{7}

= \frac{117649}{720 e ^{7}}

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Frequently Asked Questions (FAQ)

What is e^{-7}(7^6)/(6!) ?
The solution to e^{-7}(7^6)/(6!) is (117649)/(720e^7)