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Popular >

simplify (3*10^8)/(560)

Solution

simplify

\frac{3 \cdot 1 0 ^{8}}{560}

Solution

\frac{3750000}{7}

+1

Decimal Notation

535714.28571 \dots

Solution steps

\frac{3 \cdot 1 0 ^{8}}{560}

Factor the number:

560 = 10 \cdot 56

= \frac{3 \cdot 1 0 ^{8}}{10 \cdot 56}

\frac{1 0 ^{8}}{10} = 1 0^{7}

= \frac{3 \cdot 1 0 ^{7}}{56}

Factor

1 0^{7} : 2^{7} \cdot 5^{7}

= \frac{3 \cdot 2 ^{7} \cdot 5 ^{7}}{56}

Factor

56 : 2^{3} \cdot 7

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

\frac{2 ^{7}}{2 ^{3}} = 2^{4}

= \frac{3 \cdot 2 ^{4} \cdot 5 ^{7}}{7}

3 \cdot 2^{4} \cdot 5^{7} = 3750000

= \frac{3750000}{7}

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Frequently Asked Questions (FAQ)

What is (3*10^8)/(560) ?
The solution to (3*10^8)/(560) is 3750000/7