The solution to 1/4 (5)^4 is 156 1/4

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Popular Pre Algebra >

1/4 (5)^4

Solution

\frac{1}{4} (5)^{4}

Solution

156 \frac{1}{4}

Decimal

156.25

Solution steps

\frac{1}{4} (5)^{4}

Follow the PEMDAS order of operations

Calculate exponents

(5)^{4} : 625

(5)^{4}

(5)^{4} = 625

= 625

= \frac{1}{4} \cdot 625

Multiply and divide (left to right)

\frac{1}{4} \cdot 625 : \frac{625}{4}

\frac{1}{4} \cdot 625

Convert element to fraction:

625 = \frac{625}{1}

= \frac{1}{4} \cdot \frac{625}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 625}{4 \cdot 1}

Multiply the numbers:

1 \cdot 625 = 625

= \frac{625}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{625}{4}

= \frac{625}{4}

Convert improper fractions to mixed numbers:

\frac{625}{4} = 156 \frac{1}{4}

\frac{625}{4} = 156

Remainder

1

\frac{625}{4}

Write the problem in long division format

4 \overline{∣ 625}

Divide

6

4

to get

1

Divide

6

4

to get

1

1 4 \overline{∣ 625}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 625} \underline{4}

Subtract

4

from

6

1 4 \overline{∣ 625} \underline{4} 2

Bring down the next number of the dividend

1 4 \overline{∣ 625} \underline{4} 22

1 4 \overline{∣ 625} \underline{4} 22

Divide

22

4

to get

5

Divide

22

4

to get

5

15 4 \overline{∣ 625} \underline{4} 22

Multiply the quotient digit

(5)

by the divisor

4

15 4 \overline{∣ 625} \underline{4} 22 \underline{20}

Subtract

20

from

22

15 4 \overline{∣ 625} \underline{4} 22 \underline{20} 2

Bring down the next number of the dividend

15 4 \overline{∣ 625} \underline{4} 22 \underline{20} 25

15 4 \overline{∣ 625} \underline{4} 22 \underline{20} 25

Divide

25

4

to get

6

Divide

25

4

to get

6

156 4 \overline{∣ 625} \underline{4} 22 \underline{20} 25

Multiply the quotient digit

(6)

by the divisor

4

156 4 \overline{∣ 625} \underline{4} 22 \underline{20} 25 \underline{24}

Subtract

24

from

25

156 4 \overline{∣ 625} \underline{4} 22 \underline{20} 25 \underline{24} 1

156 4 \overline{∣ 625} \underline{4} 22 \underline{20} 25 \underline{24} 1

The solution for Long Division of

\frac{625}{4}

156

with remainder of

1

156 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{625}{4} = 156 \frac{1}{4}

= 156 \frac{1}{4}

= 156 \frac{1}{4}

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-3(60)+15

Frequently Asked Questions (FAQ)

What is 1/4 (5)^4 ?
The solution to 1/4 (5)^4 is 156 1/4

1/4 (5)^4

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1/4 (5)^4 ?

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