What is (2^3*3^2)/(3^3*2) ?

The solution to (2^3*3^2)/(3^3*2) is 1 1/3

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Popular >

(2^33^2)/(3^32)

Solution

\frac{2 ^{3} \cdot 3 ^{2}}{3 ^{3} \cdot 2}

Solution

1 \frac{1}{3}

Solution steps

\frac{2 ^{3} \cdot 3 ^{2}}{3 ^{3} \cdot 2}

Solve

2^{3} \cdot 3^{2} : 72

Follow the PEMDAS order of operations

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 8 \cdot 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 8 \cdot 9

Multiply and divide (left to right)

8 \cdot 9 : 72

8 \cdot 9

8 \cdot 9 = 72

= 72

= 72

Solve

3^{3} \cdot 2 : 54

Follow the PEMDAS order of operations

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

= 27 \cdot 2

Multiply and divide (left to right)

27 \cdot 2 : 54

27 \cdot 2

27 \cdot 2 = 54

= 54

= 54

= \frac{72}{54}

Simplify

\frac{72}{54} : 1 \frac{1}{3}

Cancel the common factor:

18

= \frac{4}{3}

Convert improper fractions to mixed numbers:

\frac{4}{3} = 1 \frac{1}{3}

\frac{4}{3} = 1

Remainder

1

\frac{4}{3}

Write the problem in long division format

3 \overline{∣ 4}

Divide

4

3

to get

1

Divide

4

3

to get

1

1 3 \overline{∣ 4}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 4} \underline{3}

Subtract

3

from

4

1 3 \overline{∣ 4} \underline{3} 1

1 3 \overline{∣ 4} \underline{3} 1

The solution for Long Division of

\frac{4}{3}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{4}{3} = 1 \frac{1}{3}

= 1 \frac{1}{3}

= 1 \frac{1}{3}

= 1 \frac{1}{3}

Popular Examples

-2\times (-2)\times (-2)

- 2 \times (- 2) \times (- 2)

-2+10-8\times 9+5\times 4+12\div 4-11\div 1

- 2 + 10 - 8 \times 9 + 5 \times 4 + 12 \div 4 - 11 \div 1

-1/2 (2)^2

- \frac{1}{2} (2)^{2}

2^4*3^4

2^{4} \cdot 3^{4}

(1)^2+1

(1)^{2} + 1

Frequently Asked Questions (FAQ)

What is (2^3*3^2)/(3^3*2) ?
The solution to (2^3*3^2)/(3^3*2) is 1 1/3