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Popular >

simplify 250^21.510^{-3}

Solution

simplify

25 0^{2} \cdot 1.5 \cdot 1 0^{- 3}

Solution

\frac{375}{4}

+1

Decimal Notation

93.75

Solution steps

25 0^{2} \cdot 1.5 \cdot 1 0^{- 3}

25 0^{2} = 62500

= 62500 \cdot 1.5 \cdot 1 0^{- 3}

Apply exponent rule:

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

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= 62500 \cdot 1.5 \cdot \frac{1}{1 0 ^{3}}

1 0^{3} = 1000

= 62500 \cdot 1.5 \cdot \frac{1}{1000}

Multiply the numbers:

62500 \cdot 1.5 = 93750

= 93750 \cdot \frac{1}{1000}

= \frac{1}{1000} \cdot 93750

\frac{1}{1000} \cdot 93750 = \frac{375}{4}

= \frac{375}{4}

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Frequently Asked Questions (FAQ)

What is 250^2*1.5*10^{-3} ?
The solution to 250^2*1.5*10^{-3} is 375/4