What is 7.1^2(e^{-(7.1)/2}) ?

The solution to 7.1^2(e^{-(7.1)/2}) is 1.44800…

Popular >

simplify 7.1^2(e^{-(7.1)/2})

simplify

7. 1^{2} (e^{- \frac{7.1}{2}})

1.44800 \dots

Solution steps

7. 1^{2} (e^{- \frac{7.1}{2}})

Apply exponent rule:

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

= 7. 1^{2} \cdot \frac{1}{e ^{\frac{7.1}{2}}}

Multiply fractions:

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

= \frac{1 \cdot 7. 1 ^{2}}{e ^{\frac{7.1}{2}}}

Multiply:

1 \cdot 7. 1^{2} = 7. 1^{2}

= \frac{7. 1 ^{2}}{e ^{\frac{7.1}{2}}}

7. 1^{2} = 50.41

= \frac{50.41}{e ^{\frac{7.1}{2}}}

e^{\frac{7.1}{2}} = 34.81331 \dots

= \frac{50.41}{34.81331 \dots}

Divide the numbers:

\frac{50.41}{34.81331 \dots} = 1.44800 \dots

= 1.44800 \dots

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

(3 x) (4 x^{7})

1.44 \cdot 1 0^{- 7}

0.5 x^{- 0.5} y^{0.5}