What is 1/3 (9-5+2)^2+4\times 2 ?

The solution to 1/3 (9-5+2)^2+4\times 2 is 20

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1/3 (9-5+2)^2+4\times 2

\frac{1}{3} (9 - 5 + 2)^{2} + 4 \cdot 2

20

Solution steps

\frac{1}{3} (9 - 5 + 2)^{2} + 4 \cdot 2

Follow the PEMDAS order of operations

Calculate within parentheses

(9 - 5 + 2) : 6

9 - 5 + 2

Add and subtract (left to right)

9 - 5 = 4

= 4 + 2

4 + 2 = 6

= 6

= \frac{1}{3} \cdot 6^{2} + 4 \cdot 2

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= \frac{1}{3} \cdot 36 + 4 \cdot 2

Multiply and divide (left to right)

\frac{1}{3} \cdot 36 : 12

\frac{1}{3} \cdot 36

Convert element to fraction:

36 = \frac{36}{1}

= \frac{1}{3} \cdot \frac{36}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 36}{3 \cdot 1}

\frac{1 \cdot 36}{3 \cdot 1} = 12

\frac{1 \cdot 36}{3 \cdot 1}

\frac{1 \cdot 36}{3 \cdot 1} = \frac{36}{3}

\frac{1 \cdot 36}{3 \cdot 1}

Multiply the numbers:

1 \cdot 36 = 36

= \frac{36}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{36}{3}

= \frac{36}{3}

Divide the numbers:

\frac{36}{3} = 12

= 12

= 12

= 12 + 4 \cdot 2

Multiply and divide (left to right)

4 \cdot 2 : 8

4 \cdot 2

4 \cdot 2 = 8

= 8

= 12 + 8

Add and subtract (left to right)

12 + 8 : 20

12 + 8

12 + 8 = 20

= 20

= 20

\frac{22}{7} \times 1 4^{2}

35 - 42 + (- 12) - 24 - (- 7) - 2

600 \div 750 \times 100

(15 - 2) 4 + 3 (6 \div 3) - 18 \div (10 - 1)

- 3 - (2 - (- 5) - (- 2 + 5))