What is 2e^{3t}*16e^{4t} ?

The solution to 2e^{3t}*16e^{4t} is 32e^{7t}

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simplify 2e^{3t}*16e^{4t}

simplify

2 e^{3 t} \cdot 16 e^{4 t}

32 e^{7 t}

Solution steps

2 e^{3 t} \cdot 16 e^{4 t}

Apply exponent rule:

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

e^{3 t} e^{4 t} = e^{3 t + 4 t}

= 2 \cdot 16 e^{3 t + 4 t}

Add similar elements:

3 t + 4 t = 7 t

= 2 \cdot 16 e^{7 t}

Multiply the numbers:

2 \cdot 16 = 32

= 32 e^{7 t}

(2.4 c m^{2}) \cdot (0.2 m)

e^{- \frac{1}{2} l n (b)}

t + 1 u n d e f in e d

210 π m^{2} x^{1.5} mm