Solve v=[16(5)-32/10(5)^2+16/75(5)^3]

$$v = [ 16 ( 5 ) - \frac { 32 } { 10 } ( 5 ) ^ { 2 } + \frac { 16 } { 75 } ( 5 ) ^ { 3 } ]$$

Solve for v

$$v = \frac{80}{3} = 26\frac{2}{3} \approx 26.666666667$$

Steps for Solving Linear Equation

Multiply 16 and 5 to get 80.

$$v=80-\frac{32}{10}\times 5^{2}+\frac{16}{75}\times 5^{3}$$

Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$v=80-\frac{16}{5}\times 5^{2}+\frac{16}{75}\times 5^{3}$$

Calculate 5 to the power of 2 and get 25.

$$v=80-\frac{16}{5}\times 25+\frac{16}{75}\times 5^{3}$$

Express \frac{16}{5}\times 25 as a single fraction.

$$v=80-\frac{16\times 25}{5}+\frac{16}{75}\times 5^{3}$$

Multiply 16 and 25 to get 400.

$$v=80-\frac{400}{5}+\frac{16}{75}\times 5^{3}$$

Divide 400 by 5 to get 80.

$$v=80-80+\frac{16}{75}\times 5^{3}$$

Subtract 80 from 80 to get 0.

$$v=0+\frac{16}{75}\times 5^{3}$$

Calculate 5 to the power of 3 and get 125.

$$v=0+\frac{16}{75}\times 125$$

Express \frac{16}{75}\times 125 as a single fraction.

$$v=0+\frac{16\times 125}{75}$$

Multiply 16 and 125 to get 2000.

$$v=0+\frac{2000}{75}$$

Reduce the fraction \frac{2000}{75} to lowest terms by extracting and canceling out 25.

$$v=0+\frac{80}{3}$$

Add 0 and \frac{80}{3} to get \frac{80}{3}.

$$v=\frac{80}{3}$$

Assign v

$$v≔\frac{80}{3}$$