What is 60e^{-0.0248(60)} ?

The solution to 60e^{-0.0248(60)} is 13.54943…

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simplify 60e^{-0.0248(60)}

simplify

60 e^{- 0.0248 (60)}

13.54943 \dots

Solution steps

60 e^{- 0.0248 (60)}

Apply exponent rule:

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

= 60 \cdot \frac{1}{e ^{60 \cdot 0.0248}}

Multiply the numbers:

0.0248 \cdot 60 = 1.488

= 60 \cdot \frac{1}{e ^{1.488}}

Multiply fractions:

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

= \frac{1 \cdot 60}{e ^{1.488}}

Multiply the numbers:

1 \cdot 60 = 60

= \frac{60}{e ^{1.488}}

e^{1.488} = 4.42823 \dots

= \frac{60}{4.42823 \dots}

Divide the numbers:

\frac{60}{4.42823 \dots} = 13.54943 \dots

= 13.54943 \dots

\frac{3 ^{k}}{4 ^{k}}

e^{- 1 n^{2}}

e^{3} e^{3 x}

118 e^{- 0.1837 (10)}