simplify 5/e e^{-x}

Solution

simplify

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

\frac{5}{e ^{x + 1}}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

5 \cdot 1 = 5

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

e e^{x} = e^{1 + x}

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

(1 - t)^{2} (- 1 - t)^{2}

(e^{- t})^{6}

6 X^{2} Y^{2} O

6 (1.3)^{- (- 6)}