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Popular >

simplify e^{-9}(9)^{3/(3!)}

Solution

simplify

e^{- 9} (9)^{\frac{3}{3 !}}

Solution

\frac{3}{e ^{9}}

+1

Solution steps

e^{- 9} (9)^{\frac{3}{3 !}}

Apply exponent rule:

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

= 9^{\frac{3}{3 !}} \cdot \frac{1}{e ^{9}}

Multiply fractions:

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

= \frac{1 \cdot 9 ^{\frac{3}{3 !}}}{e ^{9}}

Multiply:

1 \cdot 9^{\frac{3}{3 !}} = 9^{\frac{3}{3 !}}

= \frac{9 ^{\frac{3}{3 !}}}{e ^{9}}

3! = 6

= \frac{9 ^{\frac{3}{6}}}{e ^{9}}

9^{\frac{3}{6}} = 3

= \frac{3}{e ^{9}}

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Frequently Asked Questions (FAQ)

What is e^{-9}(9)^{3/(3!)} ?
The solution to e^{-9}(9)^{3/(3!)} is 3/(e^9)