What is (6e^{-3})(4e^{-8})^{1/2} ?

The solution to (6e^{-3})(4e^{-8})^{1/2} is (12)/(e^7)

Popular >

simplify (6e^{-3})(4e^{-8})^{1/2}

simplify

(6 e^{- 3}) (4 e^{- 8})^{\frac{1}{2}}

\frac{12}{e ^{7}}

Decimal Notation

0.01094 \dots

Solution steps

(6 e^{- 3}) (4 e^{- 8})^{\frac{1}{2}}

Apply exponent rule:

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

= 6 \cdot \frac{1}{e ^{3}} (4 e^{- 8})^{\frac{1}{2}}

(4 e^{- 8})^{\frac{1}{2}} = \frac{2}{e ^{4}}

= 6 \cdot \frac{1}{e ^{3}} \cdot \frac{2}{e ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 2 \cdot 6}{e ^{3} e ^{4}}

Multiply the numbers:

1 \cdot 2 \cdot 6 = 12

= \frac{12}{e ^{4} e ^{3}}

e^{3} e^{4} = e^{7}

= \frac{12}{e ^{7}}

2 (λ e^{- λ t}) (e^{- λ t})

\frac{3}{14}

3^{\frac{3}{4}} \cdot 2 7^{\frac{3}{4}}

43 \cdot 4

(7 x^{5}) (5 x y^{8})

What is (6e^{-3})(4e^{-8})^{1/2} ?
The solution to (6e^{-3})(4e^{-8})^{1/2} is (12)/(e^7)