What is simplify-4e^{5t}*(-9)e^{3t} ?

The solution to simplify-4e^{5t}*(-9)e^{3t} is 36e^{8t}

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simplify-4e^{5t}*(-9)e^{3t}

simplify

- 4 e^{5 t} \cdot (- 9) e^{3 t}

36 e^{8 t}

Solution steps

- 4 e^{5 t} (- 9) e^{3 t}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{5 t} e^{3 t} = e^{5 t + 3 t}

= - 4 (- 9) e^{5 t + 3 t}

Add similar elements:

5 t + 3 t = 8 t

= - 4 (- 9) e^{8 t}

Apply rule

- (- a) = a

= 4 \cdot 9 e^{8 t}

Multiply the numbers:

4 \cdot 9 = 36

= 36 e^{8 t}

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

2.58 \cdot 1 0^{- 5} \cdot 3100

(3 x 1 0^{6}) (7 x 1 0^{6})

1^{2} e^{- 3 (1)}

What is simplify-4e^{5t}*(-9)e^{3t} ?
The solution to simplify-4e^{5t}*(-9)e^{3t} is 36e^{8t}