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Popular >

expand 5(10)^{-2}

Solution

expand

5 (10)^{- 2}

Solution

\frac{1}{20}

+1

Decimal Notation

0.05

Solution steps

5 (10)^{- 2}

Apply exponent rule:

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

= 5 \cdot \frac{1}{1 0 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 5}{1 0 ^{2}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5}{1 0 ^{2}}

Factor

1 0^{2} : 2^{2} \cdot 5^{2}

= \frac{5}{2 ^{2} \cdot 5 ^{2}}

Cancel the common factor:

5

= \frac{1}{2 ^{2} \cdot 5}

2^{2} \cdot 5 = 20

= \frac{1}{20}

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Frequently Asked Questions (FAQ)

What is expand 5(10)^{-2} ?
The solution to expand 5(10)^{-2} is 1/20