What is 9^3\div 2^3+8^3 ?

The solution to 9^3\div 2^3+8^3 is 603 1/8

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Popular Pre Algebra >

9^3\div 2^3+8^3

Solution

9^{3} \div 2^{3} + 8^{3}

Solution

603 \frac{1}{8}

Decimal

603.125

Solution steps

9^{3} \div 2^{3} + 8^{3}

Follow the PEMDAS order of operations

Calculate exponents

9^{3} : 729

9^{3}

9^{3} = 729

= 729

= 729 \div 2^{3} + 8^{3}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 729 \div 8 + 8^{3}

Calculate exponents

8^{3} : 512

8^{3}

8^{3} = 512

= 512

= 729 \div 8 + 512

Multiply and divide (left to right)

729 \div 8 : \frac{729}{8}

729 \div 8

729 \div 8 = \frac{729}{8}

= \frac{729}{8}

= \frac{729}{8} + 512

Add and subtract (left to right)

\frac{729}{8} + 512 : \frac{4825}{8}

\frac{729}{8} + 512

\frac{729}{8} + 512 = \frac{4825}{8}

\frac{729}{8} + 512

Convert element to fraction:

512 = \frac{512 \cdot 8}{8}

= \frac{512 \cdot 8}{8} + \frac{729}{8}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{512 \cdot 8 + 729}{8}

512 \cdot 8 + 729 = 4825

512 \cdot 8 + 729

Multiply the numbers:

512 \cdot 8 = 4096

= 4096 + 729

Add the numbers:

4096 + 729 = 4825

= 4825

= \frac{4825}{8}

= \frac{4825}{8}

= \frac{4825}{8}

Convert improper fractions to mixed numbers:

\frac{4825}{8} = 603 \frac{1}{8}

\frac{4825}{8} = 603

Remainder

1

\frac{4825}{8}

Write the problem in long division format

8 \overline{∣ 4825}

Divide

48

8

to get

6

Divide

48

8

to get

6

6 8 \overline{∣ 4825}

Multiply the quotient digit

(6)

by the divisor

8

6 8 \overline{∣ 4825} \underline{48}

Subtract

48

from

48

6 8 \overline{∣ 4825} \underline{48} 0

Bring down the next number of the dividend

6 8 \overline{∣ 4825} \underline{48} 02

6 8 \overline{∣ 4825} \underline{48} 02

Divide

2

8

to get

0

Divide

2

8

to get

0

60 8 \overline{∣ 4825} \underline{48} 02

Multiply the quotient digit

(0)

by the divisor

8

60 8 \overline{∣ 4825} \underline{48} 02 \underline{0}

Subtract

0

from

2

60 8 \overline{∣ 4825} \underline{48} 02 \underline{0} 2

Bring down the next number of the dividend

60 8 \overline{∣ 4825} \underline{48} 02 \underline{0} 25

60 8 \overline{∣ 4825} \underline{48} 02 \underline{0} 25

Divide

25

8

to get

3

Divide

25

8

to get

3

603 8 \overline{∣ 4825} \underline{48} 02 \underline{0} 25

Multiply the quotient digit

(3)

by the divisor

8

603 8 \overline{∣ 4825} \underline{48} 02 \underline{0} 25 \underline{24}

Subtract

24

from

25

603 8 \overline{∣ 4825} \underline{48} 02 \underline{0} 25 \underline{24} 1

603 8 \overline{∣ 4825} \underline{48} 02 \underline{0} 25 \underline{24} 1

The solution for Long Division of

\frac{4825}{8}

603

with remainder of

1

603 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{4825}{8} = 603 \frac{1}{8}

= 603 \frac{1}{8}

= 603 \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is 9^3\div 2^3+8^3 ?
The solution to 9^3\div 2^3+8^3 is 603 1/8

9^3\div 2^3+8^3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 9^3\div 2^3+8^3 ?

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