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Popular >

simplify 1.5*10^{-11}

Solution

simplify

1.5 \cdot 1 0^{- 11}

Solution

\frac{3}{200000000000}

+1

Decimal Notation

1.5 E - 11

Solution steps

1.5 \cdot 1 0^{- 11}

Apply exponent rule:

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

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

= 1.5 \cdot \frac{1}{1 0 ^{11}}

1.5 \cdot \frac{1}{1 0 ^{11}} = \frac{1.5}{1 0 ^{11}}

= \frac{1.5}{1 0 ^{11}}

\frac{1.5}{1 0 ^{11}} = \frac{15}{10 \cdot 1 0 ^{11}}

= \frac{15}{10 \cdot 1 0 ^{11}}

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

= \frac{15}{1 0 ^{12}}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3}{1 0 ^{12}}

Factor

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

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

\frac{5}{5 ^{12}} = \frac{1}{5 ^{11}}

= \frac{3}{5 ^{11} \cdot 2 ^{12}}

5^{11} \cdot 2^{12} = 200000000000

= \frac{3}{200000000000}

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Frequently Asked Questions (FAQ)

What is 1.5*10^{-11} ?
The solution to 1.5*10^{-11} is 3/200000000000