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

The solution to 2+3(4-2)^3-4(2) is 18

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2+3(4-2)^3-4(2)

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

18

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - 2) : 2

4 - 2

4 - 2 = 2

= 2

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

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 2 + 3 \cdot 8 - 4 (2)

Multiply and divide (left to right)

3 \cdot 8 : 24

3 \cdot 8

3 \cdot 8 = 24

= 24

= 2 + 24 - 4 (2)

Multiply and divide (left to right)

4 (2) : 8

4 (2)

Apply rule:

(a) = a

(2) = 2

= 4 \cdot 2

Multiply the numbers:

4 \cdot 2 = 8

= 8

= 2 + 24 - 8

Add and subtract (left to right)

2 + 24 - 8 : 18

2 + 24 - 8

2 + 24 = 26

= 26 - 8

26 - 8 = 18

= 18

= 18

e v a l u a t e (2 + 3)^{2} - (3 - 5)^{3}

0.2 \cdot 0.2

4 \cdot \frac{6}{2 ^{3}}

7 + (6 \cdot 5^{2} + 3)

2.2