What is 22(1.9)^2e^{-7.8(1.9)} ?

The solution to 22(1.9)^2e^{-7.8(1.9)} is 0.00002…

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simplify 22(1.9)^2e^{-7.8(1.9)}

simplify

22 (1.9)^{2} e^{- 7.8 (1.9)}

0.00002 \dots

Solution steps

22 (1.9)^{2} e^{- 7.8 (1.9)}

Apply exponent rule:

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

= 22 \cdot 1. 9^{2} \cdot \frac{1}{e ^{1.9 \cdot 7.8}}

Multiply the numbers:

7.8 \cdot 1.9 = 14.82

= 22 \cdot 1. 9^{2} \cdot \frac{1}{e ^{14.82}}

Multiply fractions:

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

= \frac{1 \cdot 22 \cdot 1. 9 ^{2}}{e ^{14.82}}

Multiply the numbers:

1 \cdot 22 = 22

= \frac{22 \cdot 1. 9 ^{2}}{e ^{14.82}}

22 \cdot 1. 9^{2} = 79.42

= \frac{79.42}{e ^{14.82}}

e^{14.82} = 2730512.83181 \dots

= \frac{79.42}{2730512.83181 \dots}

Divide the numbers:

\frac{79.42}{2730512.83181 \dots} = 0.00002 \dots

= 0.00002 \dots

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What is 22(1.9)^2e^{-7.8(1.9)} ?
The solution to 22(1.9)^2e^{-7.8(1.9)} is 0.00002…