What is (32.1*10^3)e^{-2*(2.78*10^{-7})*10} ?

The solution to (32.1*10^3)e^{-2*(2.78*10^{-7})*10} is 32099.82152…

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simplify (32.110^3)e^{-2(2.7810^{-7})10}

simplify

(32.1 \cdot 1 0^{3}) e^{- 2 \cdot (2.78 \cdot 1 0^{- 7}) \cdot 10}

32099.82152 \dots

Solution steps

(32.1 \cdot 1 0^{3}) e^{- 2 (2.78 \cdot 1 0^{- 7}) \cdot 10}

Apply exponent rule:

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

= 1 0^{3} \cdot 32.1 \cdot \frac{1}{e ^{1 0^{- 7} \cdot 2 \cdot 10 \cdot 2.78}}

\frac{1}{e ^{2 \cdot 2.78 \cdot 1 0^{- 7} \cdot 10}} = \frac{1}{e ^{0.00000556}}

= 1 0^{3} \cdot 32.1 \cdot \frac{1}{e ^{0.00000556}}

Multiply fractions:

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

= 32.1 \cdot \frac{1 0 ^{3} \cdot 1}{e ^{0.00000556}}

\frac{1 \cdot 1 0 ^{3}}{e ^{0.00000556}} = 999.99444 \dots

= 32.1 \cdot 999.99444 \dots

Multiply the numbers:

32.1 \cdot 999.99444 \dots = 32099.82152 \dots

= 32099.82152 \dots

(14 x) (15 x^{2})

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e^{- 4 (l n (3))}

What is (32.1*10^3)e^{-2*(2.78*10^{-7})*10} ?
The solution to (32.1*10^3)e^{-2*(2.78*10^{-7})*10} is 32099.82152…