The solution to (-1+2-3)^2 is 4

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(-1+2-3)^2

Solution

(- 1 + 2 - 3)^{2}

4

Solution steps

(- 1 + 2 - 3)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 1 + 2 - 3) : - 2

- 1 + 2 - 3

Add and subtract (left to right)

- 1 + 2 = 1

= 1 - 3

1 - 3 = - 2

= - 2

= (- 2)^{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

\frac{1}{4} - 4 \cdot \frac{1}{10}

7 + 5 \times 2

(- 6)^{2} + (- 3)

- 6^{2} + 6 \cdot (- 6) + 5

\frac{- 3}{5} - (\frac{7}{2} - \frac{2}{13})