What is 0.382*2^{-0.364} ?

The solution to 0.382*2^{-0.364} is (191)/(500*2^{0.364)}

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simplify 0.382*2^{-0.364}

simplify

0.382 \cdot 2^{- 0.364}

\frac{191}{500 \cdot 2 ^{0.364}}

Decimal Notation

0.29681 \dots

Solution steps

0.382 \cdot 2^{- 0.364}

Apply exponent rule:

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

2^{- 0.364} = \frac{1}{2 ^{0.364}}

= 0.382 \cdot \frac{1}{2 ^{0.364}}

0.382 \cdot \frac{1}{2 ^{0.364}} = \frac{0.382}{2 ^{0.364}}

= \frac{0.382}{2 ^{0.364}}

\frac{0.382}{2 ^{0.364}} = \frac{382}{1000 \cdot 2 ^{0.364}}

= \frac{382}{1000 \cdot 2 ^{0.364}}

Factor the number:

382 = 2 \cdot 191

= \frac{2 \cdot 191}{1000 \cdot 2 ^{0.364}}

Factor the number:

1000 = 2 \cdot 500

= \frac{2 \cdot 191}{2 \cdot 500 \cdot 2 ^{0.364}}

Cancel the common factor:

2

= \frac{191}{500 \cdot 2 ^{0.364}}

9.2 \cdot 1 0^{- 1}

3.4 (1 0^{- 8})

\frac{1}{s} e^{- s t}

- 2.4 \cdot (225)^{- 1.4} (375)

e^{- 7.61}

What is 0.382*2^{-0.364} ?
The solution to 0.382*2^{-0.364} is (191)/(500*2^{0.364)}