What is 5(3-2(-2)+(2-3))^2 ?

The solution to 5(3-2(-2)+(2-3))^2 is 180

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5(3-2(-2)+(2-3))^2

5 (3 - 2 (- 2) + (2 - 3))^{2}

180

Solution steps

5 (3 - 2 (- 2) + (2 - 3))^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - 2 (- 2) + (2 - 3)) : 6

= 5 \cdot 6^{2}

Calculate exponents

6^{2} : 36

= 5 \cdot 36

Multiply and divide (left to right)

5 \cdot 36 : 180

= 180

8 5^{2} - 3 6^{2}

8 + 8 - 6 - 2 - 10 + 8

8 + 4 - 3

(0)^{4} - (0)^{2} + 1

9 (- 3)^{2}