What is 3e^{-0.01(10)} ?

The solution to 3e^{-0.01(10)} is 2.71451…

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simplify 3e^{-0.01(10)}

simplify

3 e^{- 0.01 (10)}

2.71451 \dots

Solution steps

3 e^{- 0.01 (10)}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{10 \cdot 0.01}}

Multiply the numbers:

0.01 \cdot 10 = 0.1

= 3 \cdot \frac{1}{e ^{0.1}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{0.1}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{0.1}}

e^{0.1} = 1.10517 \dots

= \frac{3}{1.10517 \dots}

Divide the numbers:

\frac{3}{1.10517 \dots} = 2.71451 \dots

= 2.71451 \dots

17 e^{- \frac{1}{5}}

4 π (1 0^{- 7})

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1 0^{4} (1.9 \cdot 1 0^{- 2})