What is 1.9958e^{-(3.0753^2)} ?

The solution to 1.9958e^{-(3.0753^2)} is 0.00015…

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simplify 1.9958e^{-(3.0753^2)}

simplify

1.9958 e^{- (3.075 3^{2})}

0.00015 \dots

Solution steps

1.9958 e^{- (3.075 3^{2})}

Apply exponent rule:

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

= 1.9958 \cdot \frac{1}{e ^{3.075 3^{2}}}

Multiply fractions:

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

= \frac{1 \cdot 1.9958}{e ^{3.075 3^{2}}}

Multiply the numbers:

1 \cdot 1.9958 = 1.9958

= \frac{1.9958}{e ^{3.075 3^{2}}}

3.075 3^{2} = 9.45747009

= \frac{1.9958}{e ^{9.45747009}}

e^{9.45747009} = 12803.45185 \dots

= \frac{1.9958}{12803.45185 \dots}

Divide the numbers:

\frac{1.9958}{12803.45185 \dots} = 0.00015 \dots

= 0.00015 \dots

1.5 \cdot 1 0^{- 8}

s^{2} (1 + 0.06 s)^{2} (1 + 0.22 s)^{2}

0.002 \cdot e^{- 0.122542}

\frac{2 b c}{3}

e^{- \frac{x ^{2}}{2 a ^{2}}} e^{- \frac{x ^{2}}{2 a ^{2}}}

What is 1.9958e^{-(3.0753^2)} ?
The solution to 1.9958e^{-(3.0753^2)} is 0.00015…