The solution to 1/3 (6)^2 is 12

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1/3 (6)^2

Solution

\frac{1}{3} (6)^{2}

12

Solution steps

\frac{1}{3} (6)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(6)^{2} : 36

(6)^{2}

(6)^{2} = 36

= 36

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

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

(2 \div \frac{3}{4}) \cdot 6

- 2 - 1 + 1

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

+ 30 (9) - \frac{11}{2} (42)

- 1 - (1 + 1 - (1 - 1))