The solution to 4^5*1/5 is 204 4/5

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Popular Pre Algebra >

4^5*1/5

Solution

4^{5} \cdot \frac{1}{5}

Solution

204 \frac{4}{5}

Decimal

204.8

Solution steps

4^{5} \cdot \frac{1}{5}

Follow the PEMDAS order of operations

Calculate exponents

4^{5} : 1024

4^{5}

4^{5} = 1024

= 1024

= 1024 \cdot \frac{1}{5}

Multiply and divide (left to right)

1024 \cdot \frac{1}{5} : \frac{1024}{5}

1024 \cdot \frac{1}{5}

Convert element to fraction:

1024 = \frac{1024}{1}

= \frac{1024}{1} \cdot \frac{1}{5}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1024 \cdot 1}{1 \cdot 5}

Multiply the numbers:

1024 \cdot 1 = 1024

= \frac{1024}{1 \cdot 5}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{1024}{5}

= \frac{1024}{5}

Convert improper fractions to mixed numbers:

\frac{1024}{5} = 204 \frac{4}{5}

\frac{1024}{5} = 204

Remainder

4

\frac{1024}{5}

Write the problem in long division format

5 \overline{∣ 1024}

Divide

10

5

to get

2

Divide

10

5

to get

2

2 5 \overline{∣ 1024}

Multiply the quotient digit

(2)

by the divisor

5

2 5 \overline{∣ 1024} \underline{10}

Subtract

10

from

10

2 5 \overline{∣ 1024} \underline{10} 0

Bring down the next number of the dividend

2 5 \overline{∣ 1024} \underline{10} 02

2 5 \overline{∣ 1024} \underline{10} 02

Divide

2

5

to get

0

Divide

2

5

to get

0

20 5 \overline{∣ 1024} \underline{10} 02

Multiply the quotient digit

(0)

by the divisor

5

20 5 \overline{∣ 1024} \underline{10} 02 \underline{0}

Subtract

0

from

2

20 5 \overline{∣ 1024} \underline{10} 02 \underline{0} 2

Bring down the next number of the dividend

20 5 \overline{∣ 1024} \underline{10} 02 \underline{0} 24

20 5 \overline{∣ 1024} \underline{10} 02 \underline{0} 24

Divide

24

5

to get

4

Divide

24

5

to get

4

204 5 \overline{∣ 1024} \underline{10} 02 \underline{0} 24

Multiply the quotient digit

(4)

by the divisor

5

204 5 \overline{∣ 1024} \underline{10} 02 \underline{0} 24 \underline{20}

Subtract

20

from

24

204 5 \overline{∣ 1024} \underline{10} 02 \underline{0} 24 \underline{20} 4

204 5 \overline{∣ 1024} \underline{10} 02 \underline{0} 24 \underline{20} 4

The solution for Long Division of

\frac{1024}{5}

204

with remainder of

4

204 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1024}{5} = 204 \frac{4}{5}

= 204 \frac{4}{5}

= 204 \frac{4}{5}

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Frequently Asked Questions (FAQ)

What is 4^5*1/5 ?
The solution to 4^5*1/5 is 204 4/5

4^5*1/5

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 4^5*1/5 ?

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