What is (6^4× 6^2)/((-2)^4-12^0) ?

The solution to (6^4× 6^2)/((-2)^4-12^0) is 3110 2/5

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Popular Pre Algebra >

(6^4× 6^2)/((-2)^4-12^0)

Solution

\frac{6 ^{4} \times 6 ^{2}}{( - 2 ) ^{4} - 1 2 ^{0}}

Solution

3110 \frac{2}{5}

Decimal

3110.4

Solution steps

\frac{6 ^{4} \cdot 6 ^{2}}{( - 2 ) ^{4} - 1 2 ^{0}}

Solve

6^{4} \cdot 6^{2} : 46656

6^{4} \cdot 6^{2} = 46656

= 46656

Solve

(- 2)^{4} - 1 2^{0} : 15

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{4} : 16

(- 2)^{4}

Apply exponent rule:

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

n

is even

(- 2)^{4} = 2^{4} = 16

= 16

= 16 - 1 2^{0}

Calculate exponents

1 2^{0} : 1

1 2^{0}

1 2^{0} = 1

= 1

= 16 - 1

Add and subtract (left to right)

16 - 1 : 15

16 - 1

16 - 1 = 15

= 15

= 15

= \frac{46656}{15}

Simplify

\frac{46656}{15} : 3110 \frac{2}{5}

Cancel the common factor:

3

= \frac{15552}{5}

Convert improper fractions to mixed numbers:

\frac{15552}{5} = 3110 \frac{2}{5}

\frac{15552}{5} = 3110

Remainder

2

\frac{15552}{5}

Write the problem in long division format

5 \overline{∣ 15552}

Divide

15

5

to get

3

Divide

15

5

to get

3

3 5 \overline{∣ 15552}

Multiply the quotient digit

(3)

by the divisor

5

3 5 \overline{∣ 15552} \underline{15}

Subtract

15

from

15

3 5 \overline{∣ 15552} \underline{15} 0

Bring down the next number of the dividend

3 5 \overline{∣ 15552} \underline{15} 05

3 5 \overline{∣ 15552} \underline{15} 05

Divide

5

5

to get

1

Divide

5

5

to get

1

31 5 \overline{∣ 15552} \underline{15} 05

Multiply the quotient digit

(1)

by the divisor

5

31 5 \overline{∣ 15552} \underline{15} 05 \underline{5}

Subtract

5

from

5

31 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 0

Bring down the next number of the dividend

31 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05

31 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05

Divide

5

5

to get

1

Divide

5

5

to get

1

311 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05

Multiply the quotient digit

(1)

by the divisor

5

311 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05 \underline{5}

Subtract

5

from

5

311 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05 \underline{5} 0

Bring down the next number of the dividend

311 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05 \underline{5} 02

311 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05 \underline{5} 02

Divide

2

5

to get

0

Divide

2

5

to get

0

3110 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05 \underline{5} 02

Multiply the quotient digit

(0)

by the divisor

5

3110 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05 \underline{5} 02 \underline{0}

Subtract

0

from

2

3110 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05 \underline{5} 02 \underline{0} 2

3110 5 \overline{∣ 15552} \underline{15} 05 \underline{5} 05 \underline{5} 02 \underline{0} 2

The solution for Long Division of

\frac{15552}{5}

3110

with remainder of

2

3110 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{15552}{5} = 3110 \frac{2}{5}

= 3110 \frac{2}{5}

= 3110 \frac{2}{5}

= 3110 \frac{2}{5}

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Frequently Asked Questions (FAQ)

What is (6^4× 6^2)/((-2)^4-12^0) ?
The solution to (6^4× 6^2)/((-2)^4-12^0) is 3110 2/5

(6^4× 6^2)/((-2)^4-12^0)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (6^4× 6^2)/((-2)^4-12^0) ?

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