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Popular >

simplify 6.5*10^{-12}

Solution

simplify

6.5 \cdot 1 0^{- 12}

Solution

\frac{13}{2000000000000}

+1

Decimal Notation

6.5 E - 12

Solution steps

6.5 \cdot 1 0^{- 12}

Apply exponent rule:

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

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

= 6.5 \cdot \frac{1}{1 0 ^{12}}

6.5 \cdot \frac{1}{1 0 ^{12}} = \frac{6.5}{1 0 ^{12}}

= \frac{6.5}{1 0 ^{12}}

\frac{6.5}{1 0 ^{12}} = \frac{65}{10 \cdot 1 0 ^{12}}

= \frac{65}{10 \cdot 1 0 ^{12}}

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

= \frac{65}{1 0 ^{13}}

Factor the number:

65 = 5 \cdot 13

= \frac{5 \cdot 13}{1 0 ^{13}}

Factor

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

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

\frac{5}{5 ^{13}} = \frac{1}{5 ^{12}}

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

5^{12} \cdot 2^{13} = 2000000000000

= \frac{13}{2000000000000}

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Frequently Asked Questions (FAQ)

What is 6.5*10^{-12} ?
The solution to 6.5*10^{-12} is 13/2000000000000