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Popular >

expand 2^{(-3)}*2

Solution

expand

2^{(- 3)} \cdot 2

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

2^{(- 3)} \cdot 2

Apply exponent rule:

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

= 2 \cdot \frac{1}{2 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 2}{2 ^{3}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{2 ^{3}}

Cancel the common factor:

2

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

2^{2} = 4

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is expand 2^{(-3)}*2 ?
The solution to expand 2^{(-3)}*2 is 1/4