What is 1/3 (-6)^2-2 ?

The solution to 1/3 (-6)^2-2 is 10

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1/3 (-6)^2-2

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

10

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 6)^{2} : 36

(- 6)^{2}

Apply exponent rule:

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

n

is even

(- 6)^{2} = 6^{2} = 36

= 36

= \frac{1}{3} \cdot 36 - 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 - 2

Add and subtract (left to right)

12 - 2 : 10

12 - 2

12 - 2 = 10

= 10

= 10

3 \times (2 - (- 4))

(- 3) [(- 6) \div 3] + 4^{2}

8 + 4 \div 2 \times 3 - 4 \div (2 \times 2)

12 (- 1)^{2}

+ 4 + 2 + 9 + 2 + 25 + 10 + 12 + 2 + 15 - 1