What is 12e^{-3((5t-2)/2)} ?

The solution to 12e^{-3((5t-2)/2)} is (12}{e^{\frac{3(5t-2))/2}}

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simplify 12e^{-3((5t-2)/2)}

simplify

12 e^{- 3 (\frac{5 t - 2}{2})}

\frac{12}{e ^{\frac{3 ( 5 t - 2 )}{2}}}

Solution steps

12 e^{- 3 (\frac{5 t - 2}{2})}

Apply exponent rule:

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

= 12 \cdot \frac{1}{e ^{3 \cdot \frac{5 t - 2}{2}}}

\frac{1}{e ^{3 \cdot \frac{5 t - 2}{2}}} = \frac{1}{e ^{\frac{3 ( 5 t - 2 )}{2}}}

= 12 \cdot \frac{1}{e ^{\frac{3 ( 5 t - 2 )}{2}}}

Multiply fractions:

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

= \frac{1 \cdot 12}{e ^{\frac{( 5 t - 2 ) \cdot 3}{2}}}

Multiply the numbers:

1 \cdot 12 = 12

= \frac{12}{e ^{\frac{( 5 t - 2 ) \cdot 3}{2}}}

e^{- l n (2 x^{4})}

e^{- 10} \cdot e^{10}

((k + 1) (k + 2))^{2}

(2 sin (2 θ))^{3}

0.388 \cdot 1 0^{- 3}

What is 12e^{-3((5t-2)/2)} ?
The solution to 12e^{-3((5t-2)/2)} is (12}{e^{\frac{3(5t-2))/2}}