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Popular >

simplify 1.2*10^{-13}

Solution

simplify

1.2 \cdot 1 0^{- 13}

Solution

\frac{3}{5 ^{14} \cdot 4096}

+1

Decimal Notation

1.2 E - 13

Solution steps

1.2 \cdot 1 0^{- 13}

Apply exponent rule:

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

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

= 1.2 \cdot \frac{1}{1 0 ^{13}}

1.2 \cdot \frac{1}{1 0 ^{13}} = \frac{1.2}{1 0 ^{13}}

= \frac{1.2}{1 0 ^{13}}

\frac{1.2}{1 0 ^{13}} = \frac{12}{10 \cdot 1 0 ^{13}}

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

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

= \frac{12}{1 0 ^{14}}

Factor

12 : 2^{2} \cdot 3

= \frac{2 ^{2} \cdot 3}{1 0 ^{14}}

Factor

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

= \frac{2 ^{2} \cdot 3}{2 ^{14} \cdot 5 ^{14}}

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

= \frac{3}{2 ^{12} \cdot 5 ^{14}}

2^{12} = 4096

= \frac{3}{5 ^{14} \cdot 4096}

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Frequently Asked Questions (FAQ)

What is 1.2*10^{-13} ?
The solution to 1.2*10^{-13} is 3/(5^{14)*4096}