What is 3.9e^{-0.2(210)} ?

The solution to 3.9e^{-0.2(210)} is 2.24231E-18

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simplify 3.9e^{-0.2(210)}

simplify

3.9 e^{- 0.2 (210)}

2.24231 E - 18

Solution steps

3.9 e^{- 0.2 (210)}

Apply exponent rule:

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

= 3.9 \cdot \frac{1}{e ^{210 \cdot 0.2}}

Multiply the numbers:

0.2 \cdot 210 = 42

= 3.9 \cdot \frac{1}{e ^{42}}

Multiply fractions:

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

= \frac{1 \cdot 3.9}{e ^{42}}

Multiply the numbers:

1 \cdot 3.9 = 3.9

= \frac{3.9}{e ^{42}}

Convert element to a decimal form

e^{42} = 1.73927 E 18

= \frac{3.9}{1.73927 E 18}

Divide the numbers:

\frac{3.9}{1.73927 E 18} = 2.24231 E - 18

= 2.24231 E - 18

x + y

1.5 \cdot 1 0^{- 6} \cdot 12

e^{x^{2}} \cdot e^{y^{2}}

6.5 \cdot 1 0^{- 7}

(x + 1)^{2} 4 y^{2}