What is 12e^{-0.021*24} ?

The solution to 12e^{-0.021*24} is 7.24931…

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simplify 12e^{-0.021*24}

simplify

12 e^{- 0.021 \cdot 24}

7.24931 \dots

Solution steps

12 e^{- 0.021 \cdot 24}

Apply exponent rule:

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

= 12 \cdot \frac{1}{e ^{24 \cdot 0.021}}

Multiply the numbers:

0.021 \cdot 24 = 0.504

= 12 \cdot \frac{1}{e ^{0.504}}

Multiply fractions:

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

= \frac{1 \cdot 12}{e ^{0.504}}

Multiply the numbers:

1 \cdot 12 = 12

= \frac{12}{e ^{0.504}}

e^{0.504} = 1.65532 \dots

= \frac{12}{1.65532 \dots}

Divide the numbers:

\frac{12}{1.65532 \dots} = 7.24931 \dots

= 7.24931 \dots

(24)^{2}

\frac{1}{3} (1 - \frac{10}{9} x)^{- \frac{1}{2}}

7 (11) e^{- \frac{11}{11}}

2 \frac{x}{x + 1} \cdot (x + 1)^{2}