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Popular >

simplify 10^{-10}*8.6

Solution

simplify

1 0^{- 10} \cdot 8.6

Solution

\frac{43}{50000000000}

+1

Decimal Notation

8.6 E - 10

Solution steps

1 0^{- 10} \cdot 8.6

Apply exponent rule:

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

1 0^{- 10} = \frac{1}{1 0 ^{10}}

= \frac{1}{1 0 ^{10}} \cdot 8.6

\frac{1}{1 0 ^{10}} \cdot 8.6 = \frac{8.6}{1 0 ^{10}}

= \frac{8.6}{1 0 ^{10}}

\frac{8.6}{1 0 ^{10}} = \frac{86}{10 \cdot 1 0 ^{10}}

= \frac{86}{10 \cdot 1 0 ^{10}}

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

= \frac{86}{1 0 ^{11}}

Factor the number:

86 = 2 \cdot 43

= \frac{2 \cdot 43}{1 0 ^{11}}

Factor

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

= \frac{2 \cdot 43}{2 ^{11} \cdot 5 ^{11}}

\frac{2}{2 ^{11}} = \frac{1}{2 ^{10}}

= \frac{43}{2 ^{10} \cdot 5 ^{11}}

2^{10} \cdot 5^{11} = 50000000000

= \frac{43}{50000000000}

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Frequently Asked Questions (FAQ)

What is 10^{-10}*8.6 ?
The solution to 10^{-10}*8.6 is 43/50000000000