What is 120(-2)^3-24(-2) ?

The solution to 120(-2)^3-24(-2) is -912

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120(-2)^3-24(-2)

120 (- 2)^{3} - 24 (- 2)

- 912

Solution steps

120 (- 2)^{3} - 24 (- 2)

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

(- 2)^{3} = - 2^{3} = - 8

= - 8

= 120 (- 8) - 24 (- 2)

Multiply and divide (left to right)

120 (- 8) : - 960

120 (- 8)

Apply rule

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

120 (- 8) = - 120 \cdot 8 = - 960

= - 960

= - 960 - 24 (- 2)

Multiply and divide (left to right)

24 (- 2) : - 48

24 (- 2)

Apply rule

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

24 (- 2) = - 24 \cdot 2 = - 48

= - 48

= - 960 - (- 48)

Add and subtract (left to right)

- 960 - (- 48) : - 912

- 960 - (- 48)

Apply rule

- (- a) = + a

- (- 48) = + 48

= - 960 + 48

- 960 + 48 = - 912

= - 912

= - 912

(7 + 3)^{5}

5 (3) + 4

- 1^{3} - 3

7^{2} 4 \div 4

- 2 + 5 - 4 + 1