What is e^{-2t}cos^{4t}(x) ?

The solution to e^{-2t}cos^{4t}(x) is (cos^{4t}(x))/(e^{2t)}

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simplify e^{-2t}cos^{4t}(x)

simplify

e^{- 2 t} cos^{4 t} (x)

\frac{cos ^{4 t} ( x )}{e ^{2 t}}

Solution steps

e^{- 2 t} cos^{4 t} (x)

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} cos^{4 t} (x)

Multiply fractions:

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

= \frac{1 \cdot cos ^{4 t} ( x )}{e ^{2 t}}

Multiply:

1 \cdot cos^{4 t} (x) = cos^{4 t} (x)

= \frac{cos ^{4 t} ( x )}{e ^{2 t}}

(x^{'} x)^{- 1}

(5 x y^{2}) (7 y x^{2})

(6 x^{2} y^{5}) (3 x^{4} y^{10})

e^{- (2.1 + 1.7) 0}

4 0.18

What is e^{-2t}cos^{4t}(x) ?
The solution to e^{-2t}cos^{4t}(x) is (cos^{4t}(x))/(e^{2t)}