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Popular >

simplify 5.2e^{-3}

Solution

simplify

5.2 e^{- 3}

Solution

0.25889 \dots

Solution steps

5.2 e^{- 3}

Apply exponent rule:

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

= 5.2 \cdot \frac{1}{e ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 5.2}{e ^{3}}

Multiply the numbers:

1 \cdot 5.2 = 5.2

= \frac{5.2}{e ^{3}}

Convert element to a decimal form

e^{3} = 20.08553 \dots

= \frac{5.2}{20.08553 \dots}

Divide the numbers:

\frac{5.2}{20.08553 \dots} = 0.25889 \dots

= 0.25889 \dots

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Frequently Asked Questions (FAQ)

What is 5.2e^{-3} ?
The solution to 5.2e^{-3} is 0.25889…