simplify 4^4e^{-4}

Solution

simplify

4^{4} e^{- 4}

\frac{256}{e ^{4}}

Decimal Notation

4.68880 \dots

Solution steps

4^{4} e^{- 4}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

4^{4} = 256

= \frac{256}{e ^{4}}

(e^{z})^{2}

2 (- 1)^{3} e^{- (- 1)}

7.2 \cdot 1 0^{- 4}

e^{- t} \cdot (- e^{- t})

7 j^{4} c^{4} 2 j