Solve {l}{1/10[20^{2}+20^{2}+30^{2}+30^{2}+30^{2}+40^{2}+40^2+40^2}{+50^2+60^2)}

$$\left. \begin{array} { l } { \frac { 1 } { 10 } [ 20 ^ { 2 } + 20 ^ { 2 } + 30 ^ { 2 } + 30 ^ { 2 } + 30 ^ { 2 } + 40 ^ { 2 } + 40 ^ { 2 } + 40 ^ { 2 } } \\ { + 50 ^ { 2 } + 60 ^ { 2 } ) } \end{array} \right.$$

Evaluate

$$1440$$

Solution Steps

Calculate 20 to the power of 2 and get 400.

$$\frac{1}{10}\left(400+20^{2}+30^{2}+30^{2}+30^{2}+40^{2}+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Calculate 20 to the power of 2 and get 400.

$$\frac{1}{10}\left(400+400+30^{2}+30^{2}+30^{2}+40^{2}+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Add 400 and 400 to get 800.

$$\frac{1}{10}\left(800+30^{2}+30^{2}+30^{2}+40^{2}+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Calculate 30 to the power of 2 and get 900.

$$\frac{1}{10}\left(800+900+30^{2}+30^{2}+40^{2}+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Add 800 and 900 to get 1700.

$$\frac{1}{10}\left(1700+30^{2}+30^{2}+40^{2}+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Calculate 30 to the power of 2 and get 900.

$$\frac{1}{10}\left(1700+900+30^{2}+40^{2}+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Add 1700 and 900 to get 2600.

$$\frac{1}{10}\left(2600+30^{2}+40^{2}+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Calculate 30 to the power of 2 and get 900.

$$\frac{1}{10}\left(2600+900+40^{2}+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Add 2600 and 900 to get 3500.

$$\frac{1}{10}\left(3500+40^{2}+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Calculate 40 to the power of 2 and get 1600.

$$\frac{1}{10}\left(3500+1600+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Add 3500 and 1600 to get 5100.

$$\frac{1}{10}\left(5100+40^{2}+40^{2}+50^{2}+60^{2}\right)$$

Calculate 40 to the power of 2 and get 1600.

$$\frac{1}{10}\left(5100+1600+40^{2}+50^{2}+60^{2}\right)$$

Add 5100 and 1600 to get 6700.

$$\frac{1}{10}\left(6700+40^{2}+50^{2}+60^{2}\right)$$

Calculate 40 to the power of 2 and get 1600.

$$\frac{1}{10}\left(6700+1600+50^{2}+60^{2}\right)$$

Add 6700 and 1600 to get 8300.

$$\frac{1}{10}\left(8300+50^{2}+60^{2}\right)$$

Calculate 50 to the power of 2 and get 2500.

$$\frac{1}{10}\left(8300+2500+60^{2}\right)$$

Add 8300 and 2500 to get 10800.

$$\frac{1}{10}\left(10800+60^{2}\right)$$

Calculate 60 to the power of 2 and get 3600.

$$\frac{1}{10}\left(10800+3600\right)$$

Add 10800 and 3600 to get 14400.

$$\frac{1}{10}\times 14400$$

Multiply \frac{1}{10} and 14400 to get \frac{14400}{10}.

$$\frac{14400}{10}$$

Divide 14400 by 10 to get 1440.

$$1440$$

Factor

$$2^{5}\times 3^{2}\times 5$$