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Popular >

simplify 120e^{-0.05}

Solution

simplify

120 e^{- 0.05}

Solution

114.14753 \dots

Solution steps

120 e^{- 0.05}

Apply exponent rule:

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

= 120 \cdot \frac{1}{e ^{0.05}}

Multiply fractions:

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

= \frac{1 \cdot 120}{e ^{0.05}}

Multiply the numbers:

1 \cdot 120 = 120

= \frac{120}{e ^{0.05}}

e^{0.05} = 1.05127 \dots

= \frac{120}{1.05127 \dots}

Divide the numbers:

\frac{120}{1.05127 \dots} = 114.14753 \dots

= 114.14753 \dots

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Frequently Asked Questions (FAQ)

What is 120e^{-0.05} ?
The solution to 120e^{-0.05} is 114.14753…