Solve 5{left(4/3right)}^2-2{left(4/3right)}^2*5

$$5 { \left( \frac{ 4 }{ 3 } \right) }^{ 2 } -2 { \left( \frac{ 4 }{ 3 } \right) }^{ 2 } \times 5$$

Evaluate

$$-\frac{80}{9}\approx -8.888888889$$

Solution Steps

Calculate \frac{4}{3} to the power of 2 and get \frac{16}{9}.

$$5\times \frac{16}{9}-2\times \left(\frac{4}{3}\right)^{2}\times 5$$

Express 5\times \frac{16}{9} as a single fraction.

$$\frac{5\times 16}{9}-2\times \left(\frac{4}{3}\right)^{2}\times 5$$

Multiply 5 and 16 to get 80.

$$\frac{80}{9}-2\times \left(\frac{4}{3}\right)^{2}\times 5$$

Calculate \frac{4}{3} to the power of 2 and get \frac{16}{9}.

$$\frac{80}{9}-2\times \frac{16}{9}\times 5$$

Express 2\times \frac{16}{9} as a single fraction.

$$\frac{80}{9}-\frac{2\times 16}{9}\times 5$$

Multiply 2 and 16 to get 32.

$$\frac{80}{9}-\frac{32}{9}\times 5$$

Express \frac{32}{9}\times 5 as a single fraction.

$$\frac{80}{9}-\frac{32\times 5}{9}$$

Multiply 32 and 5 to get 160.

$$\frac{80}{9}-\frac{160}{9}$$

Since \frac{80}{9} and \frac{160}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{80-160}{9}$$

Subtract 160 from 80 to get -80.

$$-\frac{80}{9}$$

Factor

$$-\frac{80}{9} = -8\frac{8}{9} = -8.88888888888889$$