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Popular >

simplify 7.88e^{-0.05*1/2}

Solution

simplify

7.88 e^{- 0.05 \cdot \frac{1}{2}}

Solution

7.68544 \dots

Solution steps

7.88 e^{- 0.05 \cdot \frac{1}{2}}

Apply exponent rule:

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

= 7.88 \cdot \frac{1}{e ^{0.05 \cdot \frac{1}{2}}}

\frac{1}{e ^{0.05 \cdot \frac{1}{2}}} = \frac{1}{e ^{0.025}}

= 7.88 \cdot \frac{1}{e ^{0.025}}

Multiply fractions:

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

= \frac{1 \cdot 7.88}{e ^{0.025}}

Multiply the numbers:

1 \cdot 7.88 = 7.88

= \frac{7.88}{e ^{0.025}}

e^{0.025} = 1.02531 \dots

= \frac{7.88}{1.02531 \dots}

Divide the numbers:

\frac{7.88}{1.02531 \dots} = 7.68544 \dots

= 7.68544 \dots

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Frequently Asked Questions (FAQ)

What is 7.88e^{-0.05*1/2} ?
The solution to 7.88e^{-0.05*1/2} is 7.68544…