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Popular >

simplify e^{-3/5}e^{9/2}

Solution

simplify

e^{- \frac{3}{5}} e^{\frac{9}{2}}

Solution

e^{\frac{39}{10}}

+1

Decimal Notation

49.40244 \dots

Solution steps

e^{- \frac{3}{5}} e^{\frac{9}{2}}

Apply exponent rule:

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

= e^{\frac{9}{2}} \frac{1}{e ^{\frac{3}{5}}}

Multiply fractions:

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

= \frac{1 \cdot e ^{\frac{9}{2}}}{e ^{\frac{3}{5}}}

Multiply:

1 \cdot e^{\frac{9}{2}} = e^{\frac{9}{2}}

= \frac{e ^{\frac{9}{2}}}{e ^{\frac{3}{5}}}

Apply exponent rule:

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

\frac{e ^{\frac{9}{2}}}{e ^{\frac{3}{5}}} = e^{\frac{9}{2} - \frac{3}{5}}

= e^{\frac{9}{2} - \frac{3}{5}}

Subtract the numbers:

\frac{9}{2} - \frac{3}{5} = \frac{39}{10}

= e^{\frac{39}{10}}

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Frequently Asked Questions (FAQ)

What is e^{-3/5}e^{9/2} ?
The solution to e^{-3/5}e^{9/2} is e^{39/10}