What is 7^5+13 11/20 ?

The solution to 7^5+13 11/20 is 16820 11/20

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Popular >

7^5+13 11/20

Solution

7^{5} + 13 \frac{11}{20}

Solution

16820 \frac{11}{20}

Solution steps

7^{5} + 13 \frac{11}{20}

Convert mixed numbers to improper fractions:

13 \frac{11}{20} = \frac{271}{20}

13 \frac{11}{20}

Convert mixed numbers to improper fraction:

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

13 \frac{11}{20} = \frac{13 \cdot 20 + 11}{20}

= \frac{271}{20}

= 7^{5} + \frac{271}{20}

Follow the PEMDAS order of operations

Calculate exponents

7^{5} : 16807

7^{5}

7^{5} = 16807

= 16807

= 16807 + \frac{271}{20}

Add and subtract (left to right)

16807 + \frac{271}{20} : \frac{336411}{20}

16807 + \frac{271}{20}

16807 + \frac{271}{20} = \frac{336411}{20}

16807 + \frac{271}{20}

Convert element to fraction:

16807 = \frac{16807 \cdot 20}{20}

= \frac{16807 \cdot 20}{20} + \frac{271}{20}

Since the denominators are equal, combine the fractions:

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

= \frac{16807 \cdot 20 + 271}{20}

16807 \cdot 20 + 271 = 336411

16807 \cdot 20 + 271

Multiply the numbers:

16807 \cdot 20 = 336140

= 336140 + 271

Add the numbers:

336140 + 271 = 336411

= 336411

= \frac{336411}{20}

= \frac{336411}{20}

= \frac{336411}{20}

Convert improper fractions to mixed numbers:

\frac{336411}{20} = 16820 \frac{11}{20}

\frac{336411}{20} = 16820

Remainder

11

\frac{336411}{20}

Write the problem in long division format

20 \overline{∣ 336411}

Divide

33

20

to get

1

Divide

33

20

to get

1

1 20 \overline{∣ 336411}

Multiply the quotient digit

(1)

by the divisor

20

1 20 \overline{∣ 336411} \underline{20}

Subtract

20

from

33

1 20 \overline{∣ 336411} \underline{20} 13

Bring down the next number of the dividend

1 20 \overline{∣ 336411} \underline{20} 136

1 20 \overline{∣ 336411} \underline{20} 136

Divide

136

20

to get

6

Divide

136

20

to get

6

16 20 \overline{∣ 336411} \underline{20} 136

Multiply the quotient digit

(6)

by the divisor

20

16 20 \overline{∣ 336411} \underline{20} 136 \underline{120}

Subtract

120

from

136

16 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 16

Bring down the next number of the dividend

16 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164

16 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164

Divide

164

20

to get

8

Divide

164

20

to get

8

168 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164

Multiply the quotient digit

(8)

by the divisor

20

168 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160}

Subtract

160

from

164

168 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 4

Bring down the next number of the dividend

168 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41

168 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41

Divide

41

20

to get

2

Divide

41

20

to get

2

1682 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41

Multiply the quotient digit

(2)

by the divisor

20

1682 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41 \underline{40}

Subtract

40

from

41

1682 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41 \underline{40} 1

Bring down the next number of the dividend

1682 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41 \underline{40} 11

1682 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41 \underline{40} 11

Divide

11

20

to get

0

Divide

11

20

to get

0

16820 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41 \underline{40} 11

Multiply the quotient digit

(0)

by the divisor

20

16820 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41 \underline{40} 11 \underline{0}

Subtract

0

from

11

16820 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41 \underline{40} 11 \underline{0} 11

16820 20 \overline{∣ 336411} \underline{20} 136 \underline{120} 164 \underline{160} 41 \underline{40} 11 \underline{0} 11

The solution for Long Division of

\frac{336411}{20}

16820

with remainder of

11

16820 Remainder 11

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{336411}{20} = 16820 \frac{11}{20}

= 16820 \frac{11}{20}

= 16820 \frac{11}{20}

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9 + [40 \div (- 8)]

12-24+12

12 - 24 + 12

Frequently Asked Questions (FAQ)

What is 7^5+13 11/20 ?
The solution to 7^5+13 11/20 is 16820 11/20