What is (3-cos(x))*45e^{-3x} ?

The solution to (3-cos(x))*45e^{-3x} is (45(-cos(x)+3))/(e^{3x)}

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simplify (3-cos(x))*45e^{-3x}

simplify

(3 - cos (x)) \cdot 45 e^{- 3 x}

\frac{45 ( - cos ( x ) + 3 )}{e ^{3 x}}

Solution steps

(3 - cos (x)) \cdot 45 e^{- 3 x}

Apply exponent rule:

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

= 45 \cdot \frac{1}{e ^{3 x}} (- cos (x) + 3)

Multiply fractions:

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

= \frac{1 \cdot ( 3 - cos ( x ) ) \cdot 45}{e ^{3 x}}

Multiply the numbers:

1 \cdot 45 = 45

= \frac{45 ( - cos ( x ) + 3 )}{e ^{3 x}}

\frac{( e ^{x^{2}} )}{e ^{x}}

(1.36 \cdot 1 0^{45}) (1.6 \cdot 1 0^{- 40})

2.269 \cdot 1 0^{- 8} \cdot 0.53

(\frac{4}{5} x^{a}) \cdot (\frac{3}{2} x)

7 (\frac{5}{2} + \frac{1}{2} x)^{- 5}

What is (3-cos(x))*45e^{-3x} ?
The solution to (3-cos(x))*45e^{-3x} is (45(-cos(x)+3))/(e^{3x)}