What is 3((e^3)/4)e^{-3} ?

The solution to 3((e^3)/4)e^{-3} is 3/4

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simplify 3((e^3)/4)e^{-3}

simplify

3 (\frac{e ^{3}}{4}) e^{- 3}

\frac{3}{4}

Decimal Notation

0.75

Solution steps

3 (\frac{e ^{3}}{4}) e^{- 3}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

e^{3}

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

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{4}

(4 + x)^{4} \cdot (4 - x)^{4}

5.3 \cdot 1 0^{- 16} \cdot 2.6

- 32 e^{- \frac{0}{32}}

(22 x^{2}) (20 x^{2})

(2 x^{2}) (3 x^{5} y)