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Popular Pre Algebra >

5^3\div 2^3

Solution

5^{3} \div 2^{3}

Solution

15 \frac{5}{8}

+1

Decimal

15.625

Solution steps

5^{3} \div 2^{3}

Follow the PEMDAS order of operations

Calculate exponents

5^{3} : 125

5^{3}

5^{3} = 125

= 125

= 125 \div 2^{3}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 125 \div 8

Multiply and divide (left to right)

125 \div 8 : \frac{125}{8}

125 \div 8

125 \div 8 = \frac{125}{8}

= \frac{125}{8}

= \frac{125}{8}

Convert improper fractions to mixed numbers:

\frac{125}{8} = 15 \frac{5}{8}

\frac{125}{8} = 15

Remainder

5

\frac{125}{8}

Write the problem in long division format

8 \overline{∣ 125}

Divide

12

by

8

to get

1

Divide

12

by

8

to get

1

1 8 \overline{∣ 125}

Multiply the quotient digit

(1)

by the divisor

8

1 8 \overline{∣ 125} \underline{8}

Subtract

8

from

12

1 8 \overline{∣ 125} \underline{8} 4

Bring down the next number of the dividend

1 8 \overline{∣ 125} \underline{8} 45

1 8 \overline{∣ 125} \underline{8} 45

Divide

45

by

8

to get

5

Divide

45

by

8

to get

5

15 8 \overline{∣ 125} \underline{8} 45

Multiply the quotient digit

(5)

by the divisor

8

15 8 \overline{∣ 125} \underline{8} 45 \underline{40}

Subtract

40

from

45

15 8 \overline{∣ 125} \underline{8} 45 \underline{40} 5

15 8 \overline{∣ 125} \underline{8} 45 \underline{40} 5

The solution for Long Division of

\frac{125}{8}

is

15

with remainder of

5

15 Remainder 5

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{125}{8} = 15 \frac{5}{8}

= 15 \frac{5}{8}

= 15 \frac{5}{8}

Popular Examples

-135\div (-9)\div (-3)

6(2× 3-1)\div 3(1+3× 3)× 1

Frequently Asked Questions (FAQ)

What is 5^3\div 2^3 ?
The solution to 5^3\div 2^3 is 15 5/8

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