What is 27e^{-4(0.5)} ?

The solution to 27e^{-4(0.5)} is (27)/(e^2)

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simplify 27e^{-4(0.5)}

simplify

27 e^{- 4 (0.5)}

\frac{27}{e ^{2}}

Decimal Notation

3.65405 \dots

Solution steps

27 e^{- 4 (0.5)}

Apply exponent rule:

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

= 27 \cdot \frac{1}{e ^{4 \cdot 0.5}}

Multiply the numbers:

4 \cdot 0.5 = 2

= 27 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 27}{e ^{2}}

Multiply the numbers:

1 \cdot 27 = 27

= \frac{27}{e ^{2}}

(2 x - 1)^{2} (x + 1)^{2}

2.1875 \cdot 1 0^{- 3}

e^{2} \cdot e^{- 3}

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