What is (-3)^3-27(-3) ?

The solution to (-3)^3-27(-3) is 54

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(-3)^3-27(-3)

(- 3)^{3} - 27 (- 3)

54

Solution steps

(- 3)^{3} - 27 (- 3)

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

(- 3)^{3} = - 3^{3} = - 27

= - 27

= - 27 - 27 (- 3)

Multiply and divide (left to right)

27 (- 3) : - 81

27 (- 3)

Apply rule

a \cdot (- b) = - a \cdot b

27 (- 3) = - 27 \cdot 3 = - 81

= - 81

= - 27 - (- 81)

Add and subtract (left to right)

- 27 - (- 81) : 54

- 27 - (- 81)

Apply rule

- (- a) = + a

- (- 81) = + 81

= - 27 + 81

- 27 + 81 = 54

= 54

= 54

4 ((- 4) - 11)^{2} + 4

(7 - 1 + 6)

- (- 4 + \frac{- 8}{3} + \frac{16}{4})

\frac{- 2}{3} (\frac{10}{2} + (- 2) + 6)

3 - 60 + 54 \times 4 + 6