Solve n^3+5/3div10^8/5

$$\frac { n ^ { 3 } + 5 } { 3 } \div \frac { 10 ^ { 8 } } { 5 }$$

Evaluate

$$\frac{n^{3}+5}{60000000}$$

Solution Steps

Divide \frac{n^{3}+5}{3} by \frac{10^{8}}{5} by multiplying \frac{n^{3}+5}{3} by the reciprocal of \frac{10^{8}}{5}.

$$\frac{\left(n^{3}+5\right)\times 5}{3\times 10^{8}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\left(n^{3}+5\right)\times 5}{3\times 100000000}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{\left(n^{3}+5\right)\times 5}{300000000}$$

Divide \left(n^{3}+5\right)\times 5 by 300000000 to get \left(n^{3}+5\right)\times \frac{1}{60000000}.

$$\left(n^{3}+5\right)\times \frac{1}{60000000}$$

Use the distributive property to multiply n^{3}+5 by \frac{1}{60000000}.

$$\frac{1}{60000000}n^{3}+\frac{1}{12000000}$$

Expand

$$\frac{n^{3}}{60000000}+\frac{1}{12000000}$$

Solution Steps

Divide \frac{n^{3}+5}{3} by \frac{10^{8}}{5} by multiplying \frac{n^{3}+5}{3} by the reciprocal of \frac{10^{8}}{5}.

$$\frac{\left(n^{3}+5\right)\times 5}{3\times 10^{8}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\left(n^{3}+5\right)\times 5}{3\times 100000000}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{\left(n^{3}+5\right)\times 5}{300000000}$$

Divide \left(n^{3}+5\right)\times 5 by 300000000 to get \left(n^{3}+5\right)\times \frac{1}{60000000}.

$$\left(n^{3}+5\right)\times \frac{1}{60000000}$$

Use the distributive property to multiply n^{3}+5 by \frac{1}{60000000}.

$$\frac{1}{60000000}n^{3}+\frac{1}{12000000}$$