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Popular >

simplify 1.6*10^{-12}

Solution

simplify

1.6 \cdot 1 0^{- 12}

Solution

\frac{1}{5 ^{13} \cdot 512}

+1

Decimal

1.6 E - 12

Solution steps

1.6 \cdot 1 0^{- 12}

Apply exponent rule:

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

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

= 1.6 \cdot \frac{1}{1 0 ^{12}}

1.6 \cdot \frac{1}{1 0 ^{12}} = \frac{1.6}{1 0 ^{12}}

= \frac{1.6}{1 0 ^{12}}

\frac{1.6}{1 0 ^{12}} = \frac{16}{10 \cdot 1 0 ^{12}}

= \frac{16}{10 \cdot 1 0 ^{12}}

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

= \frac{16}{1 0 ^{13}}

Factor the number:

16 = 2^{4}

= \frac{2 ^{4}}{1 0 ^{13}}

Factor

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

= \frac{2 ^{4}}{2 ^{13} \cdot 5 ^{13}}

\frac{2 ^{4}}{2 ^{13}} = \frac{1}{2 ^{9}}

= \frac{1}{2 ^{9} \cdot 5 ^{13}}

2^{9} = 512

= \frac{1}{5 ^{13} \cdot 512}

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Frequently Asked Questions (FAQ)

What is 1.6*10^{-12} ?
The solution to 1.6*10^{-12} is 1/(5^{13)*512}