What is 8-4(3)(-2)^2 ?

The solution to 8-4(3)(-2)^2 is -40

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8-4(3)(-2)^2

8 - 4 (3) (- 2)^{2}

- 40

Solution steps

8 - 4 (3) (- 2)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= 8 - 4 (3) \cdot 4

Multiply and divide (left to right)

4 (3) \cdot 4 : 48

4 (3) \cdot 4

4 (3) = 12

4 (3)

Apply rule:

(a) = a

(3) = 3

= 4 \cdot 3

Multiply the numbers:

4 \cdot 3 = 12

= 12

= 12 \cdot 4

12 \cdot 4 = 48

= 48

= 8 - 48

Add and subtract (left to right)

8 - 48 : - 40

8 - 48

8 - 48 = - 40

= - 40

= - 40

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

\frac{- 1 - 2 ( \frac{9}{14} )}{4}

- 5 (6) + 4 (8)

(2 - 3)^{2} - 4

- 9 + (- 8) + 15 - 17 - (- 32) + 0