What is 1/3 (3^3)+1/2 (9)-6(3) ?

The solution to 1/3 (3^3)+1/2 (9)-6(3) is -9/2

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1/3 (3^3)+1/2 (9)-6(3)

\frac{1}{3} (3^{3}) + \frac{1}{2} (9) - 6 (3)

- \frac{9}{2}

Solution steps

\frac{1}{3} (3^{3}) + \frac{1}{2} (9) - 6 (3)

Follow the PEMDAS order of operations

Calculate within parentheses

(3^{3}) : 27

= \frac{1}{3} \cdot 27 + \frac{1}{2} (9) - 6 (3)

Multiply and divide (left to right)

\frac{1}{3} \cdot 27 : 9

= 9 + \frac{1}{2} (9) - 6 (3)

Multiply and divide (left to right)

\frac{1}{2} (9) : \frac{9}{2}

= 9 + \frac{9}{2} - 6 (3)

Multiply and divide (left to right)

6 (3) : 18

= 9 + \frac{9}{2} - 18

Add and subtract (left to right)

9 + \frac{9}{2} - 18 : - \frac{9}{2}

= - \frac{9}{2}

\frac{3}{4} (x - 13) = - 2 (9 + x)

36 n^{3} - 27 n^{2} - 8 n + 6

3 (3 x - 5) = 39

- 2 x^{2} + 8 x - 8 = 0

0.00018 = (\frac{( 1 - x )}{35}) (\frac{( 1.2 - x )}{35})