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Popular >

simplify e^{-x}(1+4)

Solution

simplify

e^{- x} (1 + 4)

Solution

\frac{5}{e ^{x}}

Solution steps

e^{- x} (1 + 4)

Apply exponent rule:

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

= (1 + 4) \frac{1}{e ^{x}}

Add the numbers:

1 + 4 = 5

= 5 \cdot \frac{1}{e ^{x}}

Multiply fractions:

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

= \frac{1 \cdot 5}{e ^{x}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5}{e ^{x}}

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Frequently Asked Questions (FAQ)

What is e^{-x}(1+4) ?
The solution to e^{-x}(1+4) is 5/(e^x)