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Popular >

simplify 10e^{-(6.5)/(10)}

Solution

simplify

10 e^{- \frac{6.5}{10}}

Solution

5.22045 \dots

Solution steps

10 e^{- \frac{6.5}{10}}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{\frac{6.5}{10}}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{\frac{6.5}{10}}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{\frac{6.5}{10}}}

e^{\frac{6.5}{10}} = 1.91554 \dots

= \frac{10}{1.91554 \dots}

Divide the numbers:

\frac{10}{1.91554 \dots} = 5.22045 \dots

= 5.22045 \dots

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Frequently Asked Questions (FAQ)

What is 10e^{-(6.5)/(10)} ?
The solution to 10e^{-(6.5)/(10)} is 5.22045…