What is 0.12*2^{-0.5} ?

The solution to 0.12*2^{-0.5} is 3/(25*2^{0.5)}

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simplify 0.12*2^{-0.5}

simplify

0.12 \cdot 2^{- 0.5}

\frac{3}{25 \cdot 2 ^{0.5}}

Decimal Notation

0.08485 \dots

Solution steps

0.12 \cdot 2^{- 0.5}

Apply exponent rule:

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

2^{- 0.5} = \frac{1}{2 ^{0.5}}

= 0.12 \cdot \frac{1}{2 ^{0.5}}

0.12 \cdot \frac{1}{2 ^{0.5}} = \frac{0.12}{2 ^{0.5}}

= \frac{0.12}{2 ^{0.5}}

\frac{0.12}{2 ^{0.5}} = \frac{12}{100 \cdot 2 ^{0.5}}

= \frac{12}{100 \cdot 2 ^{0.5}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3}{100 \cdot 2 ^{0.5}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 3}{4 \cdot 25 \cdot 2 ^{0.5}}

Cancel the common factor:

4

= \frac{3}{25 \cdot 2 ^{0.5}}

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