What is (3-5)^2-16\div 2-(3-6-7) ?

The solution to (3-5)^2-16\div 2-(3-6-7) is 6

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(3-5)^2-16\div 2-(3-6-7)

(3 - 5)^{2} - 16 \div 2 - (3 - 6 - 7)

6

Solution steps

(3 - 5)^{2} - 16 \div 2 - (3 - 6 - 7)

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - 5) : - 2

3 - 5

3 - 5 = - 2

= - 2

= (- 2)^{2} - 16 \div 2 - (3 - 6 - 7)

Calculate within parentheses

(3 - 6 - 7) : - 10

3 - 6 - 7

Add and subtract (left to right)

3 - 6 = - 3

= - 3 - 7

- 3 - 7 = - 10

= - 10

= (- 2)^{2} - 16 \div 2 - (- 10)

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= 4 - 16 \div 2 - (- 10)

Multiply and divide (left to right)

16 \div 2 : 8

16 \div 2

16 \div 2 = 8

= 8

= 4 - 8 - (- 10)

Add and subtract (left to right)

4 - 8 - (- 10) : 6

4 - 8 - (- 10)

4 - 8 = - 4

= - 4 - (- 10)

Apply rule

- (- a) = + a

- (- 10) = + 10

= - 4 + 10

- 4 + 10 = 6

= 6

= 6

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

52/31 \times 11/157 \times 62/77 \times 21 \times 11/6

\frac{3}{4} (\frac{2}{3} - \frac{2}{5})

- 2 + 4 - 6 - 10 + 22 - 23 + 15 - 2

- 8 - 10 \times (- 1) + 7 \times (- 1)

What is (3-5)^2-16\div 2-(3-6-7) ?
The solution to (3-5)^2-16\div 2-(3-6-7) is 6