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Popular >

simplify 6410^{-11}0.1

Solution

simplify

64 \cdot 1 0^{- 11} \cdot 0.1

Solution

\frac{1}{15625000000}

+1

Decimal Notation

6.4 E - 11

Solution steps

64 \cdot 1 0^{- 11} \cdot 0.1

Multiply the numbers:

64 \cdot 0.1 = 6.4

= 6.4 \cdot 1 0^{- 11}

= 1 0^{- 11} \cdot 6.4

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{11}} \cdot 6.4

\frac{1}{1 0 ^{11}} \cdot 6.4 = \frac{6.4}{1 0 ^{11}}

= \frac{6.4}{1 0 ^{11}}

\frac{6.4}{1 0 ^{11}} = \frac{64}{10 \cdot 1 0 ^{11}}

= \frac{64}{10 \cdot 1 0 ^{11}}

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

= \frac{64}{1 0 ^{12}}

Factor the number:

64 = 2^{6}

= \frac{2 ^{6}}{1 0 ^{12}}

Factor

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

= \frac{2 ^{6}}{2 ^{12} \cdot 5 ^{12}}

\frac{2 ^{6}}{2 ^{12}} = \frac{1}{2 ^{6}}

= \frac{1}{2 ^{6} \cdot 5 ^{12}}

2^{6} \cdot 5^{12} = 15625000000

= \frac{1}{15625000000}

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Frequently Asked Questions (FAQ)

What is 64*10^{-11}*0.1 ?
The solution to 64*10^{-11}*0.1 is 1/15625000000