Solve 10^4/4+(5)10^3/6+(6)10^2/8+10/6

$$\frac{ { 10 }^{ 4 } }{ 4 } + \frac{ (5) { 10 }^{ 3 } }{ 6 } + \frac{ (6) { 10 }^{ 2 } }{ 8 } + \frac{ 10 }{ 6 }$$

Evaluate

$$3410$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$\frac{10000}{4}+\frac{5\times 10^{3}}{6}+\frac{6\times 10^{2}}{8}+\frac{10}{6}$$

Divide 10000 by 4 to get 2500.

$$2500+\frac{5\times 10^{3}}{6}+\frac{6\times 10^{2}}{8}+\frac{10}{6}$$

Calculate 10 to the power of 3 and get 1000.

$$2500+\frac{5\times 1000}{6}+\frac{6\times 10^{2}}{8}+\frac{10}{6}$$

Multiply 5 and 1000 to get 5000.

$$2500+\frac{5000}{6}+\frac{6\times 10^{2}}{8}+\frac{10}{6}$$

Reduce the fraction \frac{5000}{6} to lowest terms by extracting and canceling out 2.

$$2500+\frac{2500}{3}+\frac{6\times 10^{2}}{8}+\frac{10}{6}$$

Convert 2500 to fraction \frac{7500}{3}.

$$\frac{7500}{3}+\frac{2500}{3}+\frac{6\times 10^{2}}{8}+\frac{10}{6}$$

Since \frac{7500}{3} and \frac{2500}{3} have the same denominator, add them by adding their numerators.

$$\frac{7500+2500}{3}+\frac{6\times 10^{2}}{8}+\frac{10}{6}$$

Add 7500 and 2500 to get 10000.

$$\frac{10000}{3}+\frac{6\times 10^{2}}{8}+\frac{10}{6}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{10000}{3}+\frac{6\times 100}{8}+\frac{10}{6}$$

Multiply 6 and 100 to get 600.

$$\frac{10000}{3}+\frac{600}{8}+\frac{10}{6}$$

Divide 600 by 8 to get 75.

$$\frac{10000}{3}+75+\frac{10}{6}$$

Convert 75 to fraction \frac{225}{3}.

$$\frac{10000}{3}+\frac{225}{3}+\frac{10}{6}$$

Since \frac{10000}{3} and \frac{225}{3} have the same denominator, add them by adding their numerators.

$$\frac{10000+225}{3}+\frac{10}{6}$$

Add 10000 and 225 to get 10225.

$$\frac{10225}{3}+\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10225}{3}+\frac{5}{3}$$

Since \frac{10225}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\frac{10225+5}{3}$$

Add 10225 and 5 to get 10230.

$$\frac{10230}{3}$$

Divide 10230 by 3 to get 3410.

$$3410$$

Factor

$$2\times 5\times 11\times 31$$