What is (4/(a^3)*e^{-(2r)/a})*r^2dr ?

The solution to (4/(a^3)*e^{-(2r)/a})*r^2dr is (4r^2dr}{a^3e^{\frac{2r)/a}}

Popular >

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

simplify

(\frac{4}{a ^{3}} \cdot e^{- \frac{2 r}{a}}) \cdot r^{2} d r

\frac{4 r ^{2} d r}{a ^{3} e ^{\frac{2 r}{a}}}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

4 \cdot 1 = 4

= \frac{4 r ^{2} d r}{a ^{3} e ^{\frac{2 r}{a}}}

20 \cdot K^{0.5} \cdot L^{0.5}

- \frac{1}{2} e^{- (2)^{2}}

\frac{13}{21}

0.5 \cdot 20 0^{0.5} \cdot 5 0^{- 0.5}

0.8256 (5)^{- 0.04}

What is (4/(a^3)*e^{-(2r)/a})*r^2dr ?
The solution to (4/(a^3)*e^{-(2r)/a})*r^2dr is (4r^2dr}{a^3e^{\frac{2r)/a}}