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Popular >

simplify 2.5*10^{-11}

Solution

simplify

2.5 \cdot 1 0^{- 11}

Solution

\frac{1}{40000000000}

+1

Decimal Notation

2.5 E - 11

Solution steps

2.5 \cdot 1 0^{- 11}

Apply exponent rule:

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

1 0^{- 11} = \frac{1}{1 0 ^{11}}

= 2.5 \cdot \frac{1}{1 0 ^{11}}

2.5 \cdot \frac{1}{1 0 ^{11}} = \frac{2.5}{1 0 ^{11}}

= \frac{2.5}{1 0 ^{11}}

\frac{2.5}{1 0 ^{11}} = \frac{25}{10 \cdot 1 0 ^{11}}

= \frac{25}{10 \cdot 1 0 ^{11}}

10 \cdot 1 0^{11} = 1 0^{12}

= \frac{25}{1 0 ^{12}}

Factor the number:

25 = 5^{2}

= \frac{5 ^{2}}{1 0 ^{12}}

Factor

1 0^{12} : 5^{12} \cdot 2^{12}

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

\frac{5 ^{2}}{5 ^{12}} = \frac{1}{5 ^{10}}

= \frac{1}{5 ^{10} \cdot 2 ^{12}}

5^{10} \cdot 2^{12} = 40000000000

= \frac{1}{40000000000}

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Frequently Asked Questions (FAQ)

What is 2.5*10^{-11} ?
The solution to 2.5*10^{-11} is 1/40000000000