simplify 4^3e^{-4}

Solution

simplify

4^{3} e^{- 4}

\frac{64}{e ^{4}}

Decimal Notation

1.17220 \dots

Solution steps

4^{3} e^{- 4}

Apply exponent rule:

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

= 4^{3} \cdot \frac{1}{e ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 4 ^{3}}{e ^{4}}

Multiply:

1 \cdot 4^{3} = 4^{3}

= \frac{4 ^{3}}{e ^{4}}

4^{3} = 64

= \frac{64}{e ^{4}}

e^{- 7} \frac{7 ^{6}}{6 !}

e^{x} sin (x) e^{x} sin (x)

\frac{\frac{9}{2}}{\frac{3}{2}}

(11)^{4}