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Popular >

simplify 2.6*10^{-12}

Solution

simplify

2.6 \cdot 1 0^{- 12}

Solution

\frac{13}{5 ^{13} \cdot 4096}

+1

Solution steps

2.6 \cdot 1 0^{- 12}

Apply exponent rule:

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

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

= 2.6 \cdot \frac{1}{1 0 ^{12}}

2.6 \cdot \frac{1}{1 0 ^{12}} = \frac{2.6}{1 0 ^{12}}

= \frac{2.6}{1 0 ^{12}}

\frac{2.6}{1 0 ^{12}} = \frac{26}{10 \cdot 1 0 ^{12}}

= \frac{26}{10 \cdot 1 0 ^{12}}

10 \cdot 1 0^{12} = 1 0^{13}

= \frac{26}{1 0 ^{13}}

Factor the number:

26 = 2 \cdot 13

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

Factor

1 0^{13} : 2^{13} \cdot 5^{13}

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

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

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

2^{12} = 4096

= \frac{13}{5 ^{13} \cdot 4096}

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Frequently Asked Questions (FAQ)

What is 2.6*10^{-12} ?
The solution to 2.6*10^{-12} is (13)/(5^{13)*4096}