What is 4(e^{-(3/4)^2}) ?

The solution to 4(e^{-(3/4)^2}) is 4/(e^{9/16)}

Popular >

simplify 4(e^{-(3/4)^2})

simplify

4 (e^{- (\frac{3}{4})^{2}})

\frac{4}{e ^{\frac{9}{16}}}

Decimal Notation

2.27913 \dots

Solution steps

4 (e^{- (\frac{3}{4})^{2}})

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{(\frac{3}{4})^{2}}}

\frac{1}{e ^{(\frac{3}{4})^{2}}} = \frac{1}{e ^{\frac{3 ^{2}}{4 ^{2}}}}

= 4 \cdot \frac{1}{e ^{\frac{3 ^{2}}{4 ^{2}}}}

Multiply fractions:

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

= \frac{1 \cdot 4}{e ^{\frac{3 ^{2}}{4 ^{2}}}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{e ^{\frac{3 ^{2}}{4 ^{2}}}}

\frac{3 ^{2}}{4 ^{2}} = \frac{9}{16}

= \frac{4}{e ^{\frac{9}{16}}}

0.104 \cdot 1 0^{- 8} \cdot 6 8^{3}

(2.5 \cdot 1 0^{- 2}) \cdot 0.7788

0.68 \cdot 1 0^{- 3} \cdot 45