What is 12e^{4x}(x^{-4}) ?

The solution to 12e^{4x}(x^{-4}) is (12e^{4x})/(x^4)

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simplify 12e^{4x}(x^{-4})

simplify

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

\frac{12 e ^{4 x}}{x ^{4}}

Solution steps

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

Apply exponent rule:

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

= 12 e^{4 x} \frac{1}{x ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 12 e ^{4 x}}{x ^{4}}

Multiply the numbers:

1 \cdot 12 = 12

= \frac{12 e ^{4 x}}{x ^{4}}

(sin (θ) + cos (θ))^{2} (sin (θ) - cos (θ))^{2}

\frac{1}{2} (cos (x))^{- \frac{1}{2}}

v^{(- 2)} (2 v^{(4)} + 3 v^{(2)} - 2 v^{(- 3)})