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Popular >

simplify e^{-8}(1-25/2)

Solution

simplify

e^{- 8} (1 - \frac{25}{2})

Solution

- \frac{23}{2 e ^{8}}

+1

Decimal Notation

- 0.00385 \dots

Solution steps

e^{- 8} (1 - \frac{25}{2})

Apply exponent rule:

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

= \frac{1}{e ^{8}} (- \frac{25}{2} + 1)

Join

1 - \frac{25}{2} : - \frac{23}{2}

= (- \frac{23}{2}) \frac{1}{e ^{8}}

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{8}} \cdot \frac{23}{2}

Multiply fractions:

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

= - \frac{1 \cdot 23}{e ^{8} \cdot 2}

Multiply the numbers:

1 \cdot 23 = 23

= - \frac{23}{2 e ^{8}}

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Frequently Asked Questions (FAQ)

What is e^{-8}(1-25/2) ?
The solution to e^{-8}(1-25/2) is -(23)/(2e^8)