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Popular >

simplify 10e^{-5/10}

Solution

simplify

10 e^{- \frac{5}{10}}

Solution

\frac{10}{e ^{\frac{1}{2}}}

+1

Decimal Notation

6.06530 \dots

Solution steps

10 e^{- \frac{5}{10}}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{\frac{5}{10}}}

\frac{1}{e ^{\frac{5}{10}}} = \frac{1}{e ^{\frac{1}{2}}}

= 10 \cdot \frac{1}{e ^{\frac{1}{2}}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{\frac{1}{2}}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{\frac{1}{2}}}

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Frequently Asked Questions (FAQ)

What is 10e^{-5/10} ?
The solution to 10e^{-5/10} is (10)/(e^{1/2)}