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Popular >

simplify (x-4)^3e^{-4x}

Solution

simplify

(x - 4)^{3} e^{- 4 x}

Solution

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

Solution steps

(x - 4)^{3} e^{- 4 x}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot (x - 4)^{3} = (x - 4)^{3}

= \frac{( x - 4 ) ^{3}}{e ^{4 x}}

Popular Examples

area x^2+6x+16,2x^2+3x-2 area

x^{2} + 6 x + 16, 2 x^{2} + 3 x - 2

integral of 2x^2sec^2(x^3+1)

\int 2 x^{2} sec^{2} (x^{3} + 1) d x

limit as x approaches 2 of sin(-4+x^2)

x \to 2 lim (sin (- 4 + x^{2}))

derivative of (sqrt(x)-4/(sqrt(x)+4))

\frac{d}{d x} (\frac{x - 4}{x + 4})

tangent of f(x)=(1-x)/(1+x),(2,-1/3)tangent of

f (x) = \frac{1 - x}{1 + x}, (2, - \frac{1}{3})

Frequently Asked Questions (FAQ)

What is (x-4)^3e^{-4x} ?
The solution to (x-4)^3e^{-4x} is ((x-4)^3)/(e^{4x)}