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Popular >

expand 5x(10)^{-3}

Solution

expand

5 x (10)^{- 3}

Solution

\frac{x}{200}

Solution steps

5 x (10)^{- 3}

Apply exponent rule:

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

= 5 \cdot \frac{1}{1 0 ^{3}} x

Multiply fractions:

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

= \frac{1 \cdot 5 x}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5 x}{1 0 ^{3}}

Factor

1 0^{3} : 2^{3} \cdot 5^{3}

= \frac{5 x}{2 ^{3} \cdot 5 ^{3}}

Cancel the common factor:

5

= \frac{x}{2 ^{3} \cdot 5 ^{2}}

2^{3} \cdot 5^{2} = 200

= \frac{x}{200}

Popular Examples

simplify (669^2)/(430^2)simplify

\frac{66 9 ^{2}}{43 0 ^{2}}

simplify 3.7x10^{-3}simplify

3.7 x 1 0^{- 3}

simplify 3.25*10^{-22}*2000 simplify

3.25 \cdot 1 0^{- 22} \cdot 2000

simplify f^{-1}(75)simplify

f^{- 1} (75)

simplify-200e^{-0.1Q}simplify

- 200 e^{- 0.1 Q}

Frequently Asked Questions (FAQ)

What is expand 5x(10)^{-3} ?
The solution to expand 5x(10)^{-3} is x/(200)