What is 10e^{-0.0256(5)} ?

The solution to 10e^{-0.0256(5)} is 8.79853…

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simplify 10e^{-0.0256(5)}

simplify

10 e^{- 0.0256 (5)}

8.79853 \dots

Solution steps

10 e^{- 0.0256 (5)}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{5 \cdot 0.0256}}

Multiply the numbers:

0.0256 \cdot 5 = 0.128

= 10 \cdot \frac{1}{e ^{0.128}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{0.128}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{0.128}}

e^{0.128} = 1.13655 \dots

= \frac{10}{1.13655 \dots}

Divide the numbers:

\frac{10}{1.13655 \dots} = 8.79853 \dots

= 8.79853 \dots

8.5 \times 1 0^{- 6}

- 8 e^{- t}

(271.19) (183 \cdot 1 0^{- 3})

e^{- 2. 5^{2}}