simplify 5^5e^{-5}

Solution

simplify

5^{5} e^{- 5}

\frac{3125}{e ^{5}}

Solution steps

5^{5} e^{- 5}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot 5^{5} = 5^{5}

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

5^{5} = 3125

= \frac{3125}{e ^{5}}

2. 7^{- 2}

\frac{1}{3} π (3 h)^{2} h

0.5 e^{j^{30}} \cdot 215 e^{- j^{90}}

0 \cdot e^{- 0^{2}}