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Popular >

simplify 90e^{-0.08*1/2}

Solution

simplify

90 e^{- 0.08 \cdot \frac{1}{2}}

Solution

86.47104 \dots

Solution steps

90 e^{- 0.08 \cdot \frac{1}{2}}

Apply exponent rule:

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

= 90 \cdot \frac{1}{e ^{0.08 \cdot \frac{1}{2}}}

\frac{1}{e ^{0.08 \cdot \frac{1}{2}}} = \frac{1}{e ^{0.04}}

= 90 \cdot \frac{1}{e ^{0.04}}

Multiply fractions:

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

= \frac{1 \cdot 90}{e ^{0.04}}

Multiply the numbers:

1 \cdot 90 = 90

= \frac{90}{e ^{0.04}}

e^{0.04} = 1.04081 \dots

= \frac{90}{1.04081 \dots}

Divide the numbers:

\frac{90}{1.04081 \dots} = 86.47104 \dots

= 86.47104 \dots

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Frequently Asked Questions (FAQ)

What is 90e^{-0.08*1/2} ?
The solution to 90e^{-0.08*1/2} is 86.47104…