What is (-3)^3-4(-3) ?

The solution to (-3)^3-4(-3) is -15

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(-3)^3-4(-3)

(- 3)^{3} - 4 (- 3)

- 15

Solution steps

(- 3)^{3} - 4 (- 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 - 4 (- 3)

Multiply and divide (left to right)

4 (- 3) : - 12

4 (- 3)

Apply rule

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

4 (- 3) = - 4 \cdot 3 = - 12

= - 12

= - 27 - (- 12)

Add and subtract (left to right)

- 27 - (- 12) : - 15

- 27 - (- 12)

Apply rule

- (- a) = + a

- (- 12) = + 12

= - 27 + 12

- 27 + 12 = - 15

= - 15

= - 15

(- 132) + (- 155) + (+ 188)

3 - 4 (2)

\frac{5}{4} - (\frac{1}{12} - \frac{5}{3})

- 2 + 2 + 1

[(9 + 4^{2} \div 8) + 16] \div 3^{2}