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Popular >

simplify 2.6*10^{-11}

Solution

simplify

2.6 \cdot 1 0^{- 11}

Solution

\frac{13}{500000000000}

+1

Decimal Notation

2.6 E - 11

Solution steps

2.6 \cdot 1 0^{- 11}

Apply exponent rule:

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

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

= 2.6 \cdot \frac{1}{1 0 ^{11}}

2.6 \cdot \frac{1}{1 0 ^{11}} = \frac{2.6}{1 0 ^{11}}

= \frac{2.6}{1 0 ^{11}}

\frac{2.6}{1 0 ^{11}} = \frac{26}{10 \cdot 1 0 ^{11}}

= \frac{26}{10 \cdot 1 0 ^{11}}

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

= \frac{26}{1 0 ^{12}}

Factor the number:

26 = 2 \cdot 13

= \frac{2 \cdot 13}{1 0 ^{12}}

Factor

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

= \frac{2 \cdot 13}{2 ^{12} \cdot 5 ^{12}}

\frac{2}{2 ^{12}} = \frac{1}{2 ^{11}}

= \frac{13}{2 ^{11} \cdot 5 ^{12}}

2^{11} \cdot 5^{12} = 500000000000

= \frac{13}{500000000000}

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Frequently Asked Questions (FAQ)

What is 2.6*10^{-11} ?
The solution to 2.6*10^{-11} is 13/500000000000