What is 4.2*10^{12}*e^{-1.74*10^{20}} ?

The solution to 4.2*10^{12}*e^{-1.74*10^{20}} is (4200000000000)/(e^{10^{20)*1.74}}

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simplify 4.210^{12}e^{-1.74*10^{20}}

simplify

4.2 \cdot 1 0^{12} \cdot e^{- 1.74 \cdot 1 0^{20}}

\frac{4200000000000}{e ^{1 0^{20} \cdot 1.74}}

Solution steps

4.2 \cdot 1 0^{12} e^{- 1.74 \cdot 1 0^{20}}

Apply exponent rule:

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

= 1 0^{12} \cdot 4.2 \cdot \frac{1}{e ^{1 0^{20} \cdot 1.74}}

Multiply fractions:

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

= 4.2 \cdot \frac{1 0 ^{12} \cdot 1}{e ^{1 0^{20} \cdot 1.74}}

Simplify

\frac{1 \cdot 1 0 ^{12}}{e ^{1.74 \cdot 1 0^{20}}} : \frac{1000000000000}{e ^{1 0^{20} \cdot 1.74}}

= 4.2 \cdot \frac{1000000000000}{e ^{1 0^{20} \cdot 1.74}}

Multiply fractions:

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

= \frac{1000000000000 \cdot 4.2}{e ^{1 0^{20} \cdot 1.74}}

Multiply the numbers:

1000000000000 \cdot 4.2 = 4200000000000

= \frac{4200000000000}{e ^{1 0^{20} \cdot 1.74}}

\frac{13}{29}

(3 x - 2 y)^{2} (3 x + 2 y)^{2}

(x + 2) (x - 2)

What is 4.2*10^{12}*e^{-1.74*10^{20}} ?
The solution to 4.2*10^{12}*e^{-1.74*10^{20}} is (4200000000000)/(e^{10^{20)*1.74}}