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Popular >

simplify 2.5*10^{-13}

Solution

simplify

2.5 \cdot 1 0^{- 13}

Solution

\frac{1}{4000000000000}

+1

Decimal Notation

2.5 E - 13

Solution steps

2.5 \cdot 1 0^{- 13}

Apply exponent rule:

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

1 0^{- 13} = \frac{1}{1 0 ^{13}}

= 2.5 \cdot \frac{1}{1 0 ^{13}}

2.5 \cdot \frac{1}{1 0 ^{13}} = \frac{2.5}{1 0 ^{13}}

= \frac{2.5}{1 0 ^{13}}

\frac{2.5}{1 0 ^{13}} = \frac{25}{10 \cdot 1 0 ^{13}}

= \frac{25}{10 \cdot 1 0 ^{13}}

10 \cdot 1 0^{13} = 1 0^{14}

= \frac{25}{1 0 ^{14}}

Factor the number:

25 = 5^{2}

= \frac{5 ^{2}}{1 0 ^{14}}

Factor

1 0^{14} : 5^{14} \cdot 2^{14}

= \frac{5 ^{2}}{5 ^{14} \cdot 2 ^{14}}

\frac{5 ^{2}}{5 ^{14}} = \frac{1}{5 ^{12}}

= \frac{1}{5 ^{12} \cdot 2 ^{14}}

5^{12} \cdot 2^{14} = 4000000000000

= \frac{1}{4000000000000}

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Frequently Asked Questions (FAQ)

What is 2.5*10^{-13} ?
The solution to 2.5*10^{-13} is 1/4000000000000