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Popular >

simplify 2.5(1010^{-3})

Solution

simplify

2.5 \cdot (10 \cdot 1 0^{- 3})

Solution

0.025

Solution steps

2.5 (10 \cdot 1 0^{- 3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

10 \cdot 1 0^{- 3} = 1 0^{1 - 3}

= 2.5 \cdot 1 0^{1 - 3}

Subtract the numbers:

1 - 3 = - 2

= 2.5 \cdot 1 0^{- 2}

Apply exponent rule:

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

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

= 2.5 \cdot \frac{1}{1 0 ^{2}}

1 0^{2} = 100

= 2.5 \cdot \frac{1}{100}

2.5 \cdot \frac{1}{100} = \frac{2.5}{100}

= \frac{2.5}{100}

Divide the numbers:

\frac{2.5}{100} = 0.025

= 0.025

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Frequently Asked Questions (FAQ)

What is 2.5*(10*10^{-3}) ?
The solution to 2.5*(10*10^{-3}) is 0.025