What is 8-(3(-2)-2)^2 ?

The solution to 8-(3(-2)-2)^2 is -56

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8-(3(-2)-2)^2

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

- 56

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(3 (- 2) - 2) : - 8

3 (- 2) - 2

Multiply and divide (left to right)

3 (- 2) : - 6

3 (- 2)

Apply rule

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

3 (- 2) = - 3 \cdot 2 = - 6

= - 6

= - 6 - 2

Add and subtract (left to right)

- 6 - 2 : - 8

- 6 - 2

- 6 - 2 = - 8

= - 8

= - 8

= 8 - (- 8)^{2}

Calculate exponents

(- 8)^{2} : 64

(- 8)^{2}

Apply exponent rule:

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

n

is even

(- 8)^{2} = 8^{2} = 64

= 64

= 8 - 64

Add and subtract (left to right)

8 - 64 : - 56

8 - 64

8 - 64 = - 56

= - 56

= - 56

30 \cdot 30

\frac{15}{100}

\frac{40}{20}

14 c^{3}, 70 c^{4}, 28 c^{2}

\frac{10}{36}