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

The solution to 8-4(3)(-2)^3 is 104

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

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

104

Solution steps

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

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

= 8 - 4 (3) (- 8)

Multiply and divide (left to right)

4 (3) (- 8) : - 96

4 (3) (- 8)

4 (3) = 12

4 (3)

Apply rule:

(a) = a

(3) = 3

= 4 \cdot 3

Multiply the numbers:

4 \cdot 3 = 12

= 12

= 12 (- 8)

Apply rule

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

12 (- 8) = - 12 \cdot 8 = - 96

= - 96

= 8 - (- 96)

Add and subtract (left to right)

8 - (- 96) : 104

8 - (- 96)

Apply rule

- (- a) = + a

- (- 96) = + 96

= 8 + 96

8 + 96 = 104

= 104

= 104

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

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

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

- 5 (6) + 4 (8)

(2 - 3)^{2} - 4