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Popular >

simplify (e^{-7})(e^{-3/2})

Solution

simplify

(e^{- 7}) (e^{- \frac{3}{2}})

Solution

\frac{1}{e ^{\frac{17}{2}}}

+1

Decimal Notation

0.00020 \dots

Solution steps

(e^{- 7}) (e^{- \frac{3}{2}})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 7} e^{- \frac{3}{2}} = e^{- 7 - \frac{3}{2}}

= e^{- 7 - \frac{3}{2}}

Join

- 7 - \frac{3}{2} : - \frac{17}{2}

= e^{- \frac{17}{2}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{17}{2}}}

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Frequently Asked Questions (FAQ)

What is (e^{-7})(e^{-3/2}) ?
The solution to (e^{-7})(e^{-3/2}) is 1/(e^{17/2)}