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Popular >

simplify 5^0*2^{-3}

Solution

simplify

5^{0} \cdot 2^{- 3}

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

5^{0} \cdot 2^{- 3}

Apply exponent rule:

a^{0} = 1, a \neq = 0

5^{0} = 1

= 1 \cdot 2^{- 3}

Apply exponent rule:

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

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

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

2^{3} = 8

= 1 \cdot \frac{1}{8}

Multiply the numbers:

1 \cdot \frac{1}{8} = \frac{1}{8}

= \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is 5^0*2^{-3} ?
The solution to 5^0*2^{-3} is 1/8