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Popular >

simplify e^{-5}*(5^3)/(3!)

Solution

simplify

e^{- 5} \cdot \frac{5 ^{3}}{3 !}

Solution

\frac{125}{6 e ^{5}}

+1

Decimal Notation

0.14037 \dots

Solution steps

e^{- 5} \frac{5 ^{3}}{3 !}

Apply exponent rule:

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

= \frac{1}{e ^{5}} \cdot \frac{5 ^{3}}{3 !}

Multiply fractions:

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

= \frac{1 \cdot 5 ^{3}}{e ^{5} \cdot 3 !}

Multiply:

1 \cdot 5^{3} = 5^{3}

= \frac{5 ^{3}}{e ^{5} \cdot 3 !}

5^{3} = 125

= \frac{125}{e ^{5} \cdot 3 !}

e^{5} \cdot 3! = 6 e^{5}

= \frac{125}{6 e ^{5}}

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Frequently Asked Questions (FAQ)

What is e^{-5}*(5^3)/(3!) ?
The solution to e^{-5}*(5^3)/(3!) is (125)/(6e^5)