What is ((4-5)^2+(5-5)^2+(6-5)^2)/3 ?

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

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((4-5)^2+(5-5)^2+(6-5)^2)/3

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

\frac{2}{3}

Solution steps

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

Solve

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

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - 5) : - 1

4 - 5

4 - 5 = - 1

= - 1

= (- 1)^{2} + (5 - 5)^{2} + (6 - 5)^{2}

Calculate within parentheses

(5 - 5) : 0

5 - 5

5 - 5 = 0

= 0

= (- 1)^{2} + 0^{2} + (6 - 5)^{2}

Calculate within parentheses

(6 - 5) : 1

6 - 5

6 - 5 = 1

= 1

= (- 1)^{2} + 0^{2} + 1^{2}

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

(- 1)^{2} = 1^{2} = 1

= 1

= 1 + 0^{2} + 1^{2}

Calculate exponents

0^{2} : 0

0^{2}

0^{2} = 0

= 0

= 1 + 0 + 1^{2}

Calculate exponents

1^{2} : 1

1^{2}

1^{2} = 1

= 1

= 1 + 0 + 1

Add and subtract (left to right)

1 + 0 + 1 : 2

1 + 0 + 1

1 + 0 = 1

= 1 + 1

1 + 1 = 2

= 2

= 2

= \frac{2}{3}

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

50 \div 5 - 16 \div 2 + 12 \div 6

\frac{9}{2} \cdot 9 + \frac{1}{4}

(1034 \div 94 - 72 \div 12)^{4}

85 - 15 \times 4 - 100 - 200 \div 10 - 35

What is ((4-5)^2+(5-5)^2+(6-5)^2)/3 ?
The solution to ((4-5)^2+(5-5)^2+(6-5)^2)/3 is 2/3