What is (-8)^4\div 3 ?

The solution to (-8)^4\div 3 is 1365 1/3

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(-8)^4\div 3

Solution

(- 8)^{4} \div 3

Solution

1365 \frac{1}{3}

Solution steps

(- 8)^{4} \div 3

Follow the PEMDAS order of operations

Calculate exponents

(- 8)^{4} : 4096

(- 8)^{4}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 8)^{4} = 8^{4} = 4096

= 4096

= 4096 \div 3

Multiply and divide (left to right)

4096 \div 3 : \frac{4096}{3}

4096 \div 3

4096 \div 3 = \frac{4096}{3}

= \frac{4096}{3}

= \frac{4096}{3}

Convert improper fractions to mixed numbers:

\frac{4096}{3} = 1365 \frac{1}{3}

\frac{4096}{3} = 1365

Remainder

1

\frac{4096}{3}

Write the problem in long division format

3 \overline{∣ 4096}

Divide

4

3

to get

1

Divide

4

3

to get

1

1 3 \overline{∣ 4096}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 4096} \underline{3}

Subtract

3

from

4

1 3 \overline{∣ 4096} \underline{3} 1

Bring down the next number of the dividend

1 3 \overline{∣ 4096} \underline{3} 10

1 3 \overline{∣ 4096} \underline{3} 10

Divide

10

3

to get

3

Divide

10

3

to get

3

13 3 \overline{∣ 4096} \underline{3} 10

Multiply the quotient digit

(3)

by the divisor

3

13 3 \overline{∣ 4096} \underline{3} 10 \underline{9}

Subtract

9

from

10

13 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 1

Bring down the next number of the dividend

13 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19

13 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19

Divide

19

3

to get

6

Divide

19

3

to get

6

136 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19

Multiply the quotient digit

(6)

by the divisor

3

136 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19 \underline{18}

Subtract

18

from

19

136 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19 \underline{18} 1

Bring down the next number of the dividend

136 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19 \underline{18} 16

136 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19 \underline{18} 16

Divide

16

3

to get

5

Divide

16

3

to get

5

1365 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19 \underline{18} 16

Multiply the quotient digit

(5)

by the divisor

3

1365 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19 \underline{18} 16 \underline{15}

Subtract

15

from

16

1365 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19 \underline{18} 16 \underline{15} 1

1365 3 \overline{∣ 4096} \underline{3} 10 \underline{9} 19 \underline{18} 16 \underline{15} 1

The solution for Long Division of

\frac{4096}{3}

1365

with remainder of

1

1365 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{4096}{3} = 1365 \frac{1}{3}

= 1365 \frac{1}{3}

= 1365 \frac{1}{3}

Popular Examples

-11-(-12)-1

- 11 - (- 12) - 1

3\times 2-4

3 \times 2 - 4

3\times 2-2

3 \times 2 - 2

2+4-3

2 + 4 - 3

4^2+5^2\times 1^3

4^{2} + 5^{2} \times 1^{3}

Frequently Asked Questions (FAQ)

What is (-8)^4\div 3 ?
The solution to (-8)^4\div 3 is 1365 1/3