What is 2.08\times 10e^{-5} ?

The solution to 2.08\times 10e^{-5} is 0.14014…

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simplify 2.08\times 10e^{-5}

simplify

2.08 \cdot 10 e^{- 5}

0.14014 \dots

Solution steps

2.08 \cdot 10 e^{- 5}

Apply exponent rule:

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

= 10 \cdot 2.08 \cdot \frac{1}{e ^{5}}

Multiply fractions:

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

= 2.08 \cdot \frac{1 \cdot 10}{e ^{5}}

Multiply the numbers:

1 \cdot 10 = 10

= 2.08 \cdot \frac{10}{e ^{5}}

Multiply fractions:

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

= \frac{10 \cdot 2.08}{e ^{5}}

Multiply the numbers:

10 \cdot 2.08 = 20.8

= \frac{20.8}{e ^{5}}

Convert element to a decimal form

e^{5} = 148.41315 \dots

= \frac{20.8}{148.41315 \dots}

Divide the numbers:

\frac{20.8}{148.41315 \dots} = 0.14014 \dots

= 0.14014 \dots

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