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Popular >

simplify 2.56*10^{-11}

Solution

simplify

2.56 \cdot 1 0^{- 11}

Solution

\frac{1}{39062500000}

+1

Decimal Notation

2.56 E - 11

Solution steps

2.56 \cdot 1 0^{- 11}

Apply exponent rule:

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

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

= 2.56 \cdot \frac{1}{1 0 ^{11}}

2.56 \cdot \frac{1}{1 0 ^{11}} = \frac{2.56}{1 0 ^{11}}

= \frac{2.56}{1 0 ^{11}}

\frac{2.56}{1 0 ^{11}} = \frac{256}{100 \cdot 1 0 ^{11}}

= \frac{256}{100 \cdot 1 0 ^{11}}

Factor the number:

256 = 4 \cdot 64

= \frac{4 \cdot 64}{100 \cdot 1 0 ^{11}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 64}{4 \cdot 25 \cdot 1 0 ^{11}}

Cancel the common factor:

4

= \frac{64}{25 \cdot 1 0 ^{11}}

Factor the number:

64 = 2^{6}

= \frac{2 ^{6}}{25 \cdot 1 0 ^{11}}

Factor

1 0^{11} : 2^{11} \cdot 5^{11}

= \frac{2 ^{6}}{25 \cdot 2 ^{11} \cdot 5 ^{11}}

\frac{2 ^{6}}{2 ^{11}} = \frac{1}{2 ^{5}}

= \frac{1}{25 \cdot 2 ^{5} \cdot 5 ^{11}}

25 \cdot 2^{5} \cdot 5^{11} = 39062500000

= \frac{1}{39062500000}

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Frequently Asked Questions (FAQ)

What is 2.56*10^{-11} ?
The solution to 2.56*10^{-11} is 1/39062500000