The solution to -3(-2)^3-2 is 22

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-3(-2)^3-2

Solution

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

22

Solution steps

- 3 (- 2)^{3} - 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

= - 3 (- 8) - 2

Multiply and divide (left to right)

- 3 (- 8) : 24

- 3 (- 8)

Apply rule

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

- 3 (- 8) = 3 \cdot 8 = 24

= 24

= 24 - 2

Add and subtract (left to right)

24 - 2 : 22

24 - 2

24 - 2 = 22

= 22

= 22

(10 - 3) \cdot 2

3 (2 (4) - 5)

2 0^{2} - 1 0^{2}

\frac{2 ^{0} + 0 ^{2}}{2 + 0}

4 \cdot 3 - 2^{2} \cdot 4 + 7 - 3