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Popular >

simplify 1.25*10^{-10}

Solution

simplify

1.25 \cdot 1 0^{- 10}

Solution

\frac{1}{8000000000}

+1

Decimal Notation

1.25 E - 10

Solution steps

1.25 \cdot 1 0^{- 10}

Apply exponent rule:

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

1 0^{- 10} = \frac{1}{1 0 ^{10}}

= 1.25 \cdot \frac{1}{1 0 ^{10}}

1.25 \cdot \frac{1}{1 0 ^{10}} = \frac{1.25}{1 0 ^{10}}

= \frac{1.25}{1 0 ^{10}}

\frac{1.25}{1 0 ^{10}} = \frac{125}{100 \cdot 1 0 ^{10}}

= \frac{125}{100 \cdot 1 0 ^{10}}

Factor the number:

125 = 25 \cdot 5

= \frac{25 \cdot 5}{100 \cdot 1 0 ^{10}}

Factor the number:

100 = 25 \cdot 4

= \frac{25 \cdot 5}{25 \cdot 4 \cdot 1 0 ^{10}}

Cancel the common factor:

25

= \frac{5}{4 \cdot 1 0 ^{10}}

Factor

1 0^{10} : 5^{10} \cdot 2^{10}

= \frac{5}{4 \cdot 5 ^{10} \cdot 2 ^{10}}

\frac{5}{5 ^{10}} = \frac{1}{5 ^{9}}

= \frac{1}{4 \cdot 5 ^{9} \cdot 2 ^{10}}

4 \cdot 5^{9} \cdot 2^{10} = 8000000000

= \frac{1}{8000000000}

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Frequently Asked Questions (FAQ)

What is 1.25*10^{-10} ?
The solution to 1.25*10^{-10} is 1/8000000000