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Popular >

simplify-25.6*10^{-12}

Solution

simplify

- 25.6 \cdot 1 0^{- 12}

Solution

- \frac{1}{5 ^{13} \cdot 32}

+1

Solution steps

- 25.6 \cdot 1 0^{- 12}

Apply exponent rule:

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

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

= - 25.6 \cdot \frac{1}{1 0 ^{12}}

- 25.6 \cdot \frac{1}{1 0 ^{12}} = - \frac{25.6}{1 0 ^{12}}

= - \frac{25.6}{1 0 ^{12}}

\frac{25.6}{1 0 ^{12}} = \frac{256}{10 \cdot 1 0 ^{12}}

= - \frac{256}{10 \cdot 1 0 ^{12}}

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

= - \frac{256}{1 0 ^{13}}

Factor the number:

256 = 2^{8}

= - \frac{2 ^{8}}{1 0 ^{13}}

Factor

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

= - \frac{2 ^{8}}{2 ^{13} \cdot 5 ^{13}}

\frac{2 ^{8}}{2 ^{13}} = \frac{1}{2 ^{5}}

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

2^{5} = 32

= - \frac{1}{5 ^{13} \cdot 32}

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Frequently Asked Questions (FAQ)

What is simplify-25.6*10^{-12} ?
The solution to simplify-25.6*10^{-12} is -1/(5^{13)*32}