The solution to 5+3(4-6)^2 is 17

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5+3(4-6)^2

Solution

5 + 3 (4 - 6)^{2}

17

Solution steps

5 + 3 (4 - 6)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - 6) : - 2

4 - 6

4 - 6 = - 2

= - 2

= 5 + 3 (- 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

= 5 + 3 \cdot 4

Multiply and divide (left to right)

3 \cdot 4 : 12

3 \cdot 4

3 \cdot 4 = 12

= 12

= 5 + 12

Add and subtract (left to right)

5 + 12 : 17

5 + 12

5 + 12 = 17

= 17

= 17

1 - (2 - 3) \times 9

12 \times 9 \div 2

3 + 9 \cdot 5 + 2

41 + 5 \times 9 + (63 \div 7 - 4)

10 \times (13 \times 4 - 8^{2}) + 7