What is 5+[-2(-1+3)]^2 ?

The solution to 5+[-2(-1+3)]^2 is 21

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5+[-2(-1+3)]^2

5 + [- 2 (- 1 + 3)]^{2}

21

Solution steps

5 + [- 2 (- 1 + 3)]^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

[- 2 (- 1 + 3)] : - 4

= 5 + (- 4)^{2}

Calculate exponents

(- 4)^{2} : 16

= 5 + 16

Add and subtract (left to right)

5 + 16 : 21

= 21

2 (2) - 2

(+ 10) - (- 6) - (+ 8) - (- 20)

3^{2} + 8^{2}

(\frac{5}{3} - 1) \times (\frac{7}{2} - 2)

2 4^{2} + 3 2^{2}