What is 1/2 \times 6\times 3^2 ?

The solution to 1/2 \times 6\times 3^2 is 27

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1/2 \times 6\times 3^2

\frac{1}{2} \cdot 6 \cdot 3^{2}

27

Solution steps

\frac{1}{2} \cdot 6 \cdot 3^{2}

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= \frac{1}{2} \cdot 6 \cdot 9

Multiply and divide (left to right)

\frac{1}{2} \cdot 6 \cdot 9 : 27

\frac{1}{2} \cdot 6 \cdot 9

\frac{1}{2} \cdot 6 = 3

\frac{1}{2} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{1}{2} \cdot \frac{6}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 6}{2 \cdot 1}

\frac{1 \cdot 6}{2 \cdot 1} = 3

\frac{1 \cdot 6}{2 \cdot 1}

\frac{1 \cdot 6}{2 \cdot 1} = \frac{6}{2}

\frac{1 \cdot 6}{2 \cdot 1}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{6}{2}

= \frac{6}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3

= 3

= 3 \cdot 9

3 \cdot 9 = 27

= 27

= 27

10 - 4 + (- 2)

(23 \times 5 - 17) + (88 - 18 \div 3)

(2 - 3) (2 - 2)

(5 - 2) (180)

15 (- 1)^{2}