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

The solution to ((-3)^2-(+2))^2 is 49

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

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

49

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

((- 3)^{2} - (2)) : 7

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

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= 9 - (2)

Add and subtract (left to right)

9 - (2) : 7

9 - (2)

9 - (2) = 7

= 7

= 7

= 7^{2}

Calculate exponents

7^{2} : 49

7^{2}

7^{2} = 49

= 49

= 49

(- 30 \div 2) + (- 24 \div 3)

- \frac{2}{3} [\frac{3}{4} + \frac{1}{4}]

(8 + 5) \times 2

45 \times 3 (26 - 18) \div 2

10 \div 5 \times 2 + 8 \times (6 - 4) - 3 \times 4