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Popular >

simplify 3.28*10^{-12}

Solution

simplify

3.28 \cdot 1 0^{- 12}

Solution

\frac{41}{1.25 E 13}

+1

Decimal Notation

3.28 E - 12

Solution steps

3.28 \cdot 1 0^{- 12}

Apply exponent rule:

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

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

= 3.28 \cdot \frac{1}{1 0 ^{12}}

3.28 \cdot \frac{1}{1 0 ^{12}} = \frac{3.28}{1 0 ^{12}}

= \frac{3.28}{1 0 ^{12}}

\frac{3.28}{1 0 ^{12}} = \frac{328}{100 \cdot 1 0 ^{12}}

= \frac{328}{100 \cdot 1 0 ^{12}}

Factor the number:

328 = 4 \cdot 82

= \frac{4 \cdot 82}{100 \cdot 1 0 ^{12}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 82}{4 \cdot 25 \cdot 1 0 ^{12}}

Cancel the common factor:

4

= \frac{82}{25 \cdot 1 0 ^{12}}

Factor the number:

82 = 2 \cdot 41

= \frac{2 \cdot 41}{25 \cdot 1 0 ^{12}}

Factor

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

= \frac{2 \cdot 41}{25 \cdot 2 ^{12} \cdot 5 ^{12}}

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

= \frac{41}{25 \cdot 2 ^{11} \cdot 5 ^{12}}

25 \cdot 2^{11} \cdot 5^{12} = 1.25 E 13

= \frac{41}{1.25 E 13}

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Frequently Asked Questions (FAQ)

What is 3.28*10^{-12} ?
The solution to 3.28*10^{-12} is (41)/(1.25E13)