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Popular >

simplify 1/4 e^{-1/4 t}

Solution

simplify

\frac{1}{4} e^{- \frac{1}{4} t}

Solution

\frac{1}{4 e ^{\frac{t}{4}}}

Solution steps

\frac{1}{4} e^{- \frac{1}{4} t}

Apply exponent rule:

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

= \frac{1}{4} \cdot \frac{1}{e ^{\frac{1}{4} t}}

\frac{1}{e ^{\frac{1}{4} t}} = \frac{1}{e ^{\frac{t}{4}}}

= \frac{1}{4} \cdot \frac{1}{e ^{\frac{t}{4}}}

Multiply fractions:

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

= \frac{1 \cdot 1}{4 e ^{\frac{t}{4}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{4 e ^{\frac{t}{4}}}

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Frequently Asked Questions (FAQ)

What is 1/4 e^{-1/4 t} ?
The solution to 1/4 e^{-1/4 t} is 1/(4e^{t/4)}