simplify 9^8*e^{-9}

Solution

simplify

9^{8} \cdot e^{- 9}

\frac{43046721}{e ^{9}}

Decimal Notation

5312.38740 \dots

Solution steps

9^{8} e^{- 9}

Apply exponent rule:

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

= 9^{8} \cdot \frac{1}{e ^{9}}

Multiply fractions:

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

= \frac{1 \cdot 9 ^{8}}{e ^{9}}

Multiply:

1 \cdot 9^{8} = 9^{8}

= \frac{9 ^{8}}{e ^{9}}

9^{8} = 43046721

= \frac{43046721}{e ^{9}}

e^{- x} \cdot e^{z}

3.53147 \cdot 1 0^{- 5}

(0.0001)^{- 1} 0.04

f^{2} (k^{5} f^{3})

1167.25 x 1 0^{- 11}