What is -(2-4)^2\times 3-4\times 2 ?

The solution to -(2-4)^2\times 3-4\times 2 is -20

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-(2-4)^2\times 3-4\times 2

- (2 - 4)^{2} \cdot 3 - 4 \cdot 2

- 20

Solution steps

- (2 - 4)^{2} \cdot 3 - 4 \cdot 2

Follow the PEMDAS order of operations

Calculate within parentheses

(2 - 4) : - 2

2 - 4

2 - 4 = - 2

= - 2

= - (- 2)^{2} \cdot 3 - 4 \cdot 2

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

= - 4 \cdot 3 - 4 \cdot 2

Multiply and divide (left to right)

- 4 \cdot 3 : - 12

- 4 \cdot 3

- 4 \cdot 3 = - 12

= - 12

= - 12 - 4 \cdot 2

Multiply and divide (left to right)

4 \cdot 2 : 8

4 \cdot 2

4 \cdot 2 = 8

= 8

= - 12 - 8

Add and subtract (left to right)

- 12 - 8 : - 20

- 12 - 8

- 12 - 8 = - 20

= - 20

= - 20

- 49 \div (- 7) - (- 77)

5^{2} + 45 + 4

\frac{- 7 - 1}{- 8 - ( - 2 )}

(- 1)^{2} - 6 (- 1) + 5

(- 5^{2} + 7^{0}) \div 4

What is -(2-4)^2\times 3-4\times 2 ?
The solution to -(2-4)^2\times 3-4\times 2 is -20