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Popular >

simplify 5.6(10^{-10})

Solution

simplify

5.6 (1 0^{- 10})

Solution

\frac{7}{12500000000}

+1

Decimal Notation

5.6 E - 10

Solution steps

5.6 (1 0^{- 10})

Apply rule:

(a) = a

(1 0^{- 10}) = 1 0^{- 10}

= 5.6 \cdot 1 0^{- 10}

Apply exponent rule:

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

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

= 5.6 \cdot \frac{1}{1 0 ^{10}}

5.6 \cdot \frac{1}{1 0 ^{10}} = \frac{5.6}{1 0 ^{10}}

= \frac{5.6}{1 0 ^{10}}

\frac{5.6}{1 0 ^{10}} = \frac{56}{10 \cdot 1 0 ^{10}}

= \frac{56}{10 \cdot 1 0 ^{10}}

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

= \frac{56}{1 0 ^{11}}

Factor

56 : 2^{3} \cdot 7

= \frac{2 ^{3} \cdot 7}{1 0 ^{11}}

Factor

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

= \frac{2 ^{3} \cdot 7}{2 ^{11} \cdot 5 ^{11}}

\frac{2 ^{3}}{2 ^{11}} = \frac{1}{2 ^{8}}

= \frac{7}{2 ^{8} \cdot 5 ^{11}}

2^{8} \cdot 5^{11} = 12500000000

= \frac{7}{12500000000}

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Frequently Asked Questions (FAQ)

What is 5.6(10^{-10}) ?
The solution to 5.6(10^{-10}) is 7/12500000000