What is 28e^{-0.05(253)} ?

The solution to 28e^{-0.05(253)} is 0.00008…

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simplify 28e^{-0.05(253)}

simplify

28 e^{- 0.05 (253)}

0.00008 \dots

Solution steps

28 e^{- 0.05 (253)}

Apply exponent rule:

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

= 28 \cdot \frac{1}{e ^{253 \cdot 0.05}}

Multiply the numbers:

0.05 \cdot 253 = 12.65

= 28 \cdot \frac{1}{e ^{12.65}}

Multiply fractions:

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

= \frac{1 \cdot 28}{e ^{12.65}}

Multiply the numbers:

1 \cdot 28 = 28

= \frac{28}{e ^{12.65}}

e^{12.65} = 311763.44808 \dots

= \frac{28}{311763.44808 \dots}

Divide the numbers:

\frac{28}{311763.44808 \dots} = 0.00008 \dots

= 0.00008 \dots

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