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

The solution to 1/9 (-3)^3-2/3 (-3)^2+5/3 (-3) is -14

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1/9 (-3)^3-2/3 (-3)^2+5/3 (-3)

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

- 14

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{3} : - 27

= \frac{1}{9} (- 27) - \frac{2}{3} (- 3)^{2} + \frac{5}{3} (- 3)

Calculate exponents

(- 3)^{2} : 9

= \frac{1}{9} (- 27) - \frac{2}{3} \cdot 9 + \frac{5}{3} (- 3)

Multiply and divide (left to right)

\frac{1}{9} (- 27) : - 3

= - 3 - \frac{2}{3} \cdot 9 + \frac{5}{3} (- 3)

Multiply and divide (left to right)

\frac{2}{3} \cdot 9 : 6

= - 3 - 6 + \frac{5}{3} (- 3)

Multiply and divide (left to right)

\frac{5}{3} (- 3) : - 5

= - 3 - 6 - 5

Add and subtract (left to right)

- 3 - 6 - 5 : - 14

= - 14

(- 18) - 64 n

2 x^{2} - 24 x + 54

\frac{1}{2} (5)

t^{2} + 2 t - 15

\frac{3 x + 2}{5} = \frac{2 x - 3}{4}

What is 1/9 (-3)^3-2/3 (-3)^2+5/3 (-3) ?
The solution to 1/9 (-3)^3-2/3 (-3)^2+5/3 (-3) is -14