simplify 10e^{-3t}

Solution

simplify

10 e^{- 3 t}

\frac{10}{e ^{3 t}}

Solution steps

10 e^{- 3 t}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{3 t}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{3 t}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{3 t}}

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