Solve =30^2/6*0.13^3/(0.13+0)*(0.13+0.31)

$$= \frac { 30 ^ { 2 } } { 6 } * \frac { 0.13 ^ { 3 } } { ( 0.13 + 0 ) * ( 0.13 + 0.31 ) }$$

Evaluate

$$\frac{507}{88}\approx 5.761363636$$

Solution Steps

Calculate 30 to the power of 2 and get 900.

$$\frac{900}{6}\times \frac{0.13^{3}}{\left(0.13+0\right)\left(0.13+0.31\right)}$$

Divide 900 by 6 to get 150.

$$150\times \frac{0.13^{3}}{\left(0.13+0\right)\left(0.13+0.31\right)}$$

Calculate 0.13 to the power of 3 and get 0.002197.

$$150\times \frac{0.002197}{\left(0.13+0\right)\left(0.13+0.31\right)}$$

Add 0.13 and 0 to get 0.13.

$$150\times \frac{0.002197}{0.13\left(0.13+0.31\right)}$$

Add 0.13 and 0.31 to get 0.44.

$$150\times \frac{0.002197}{0.13\times 0.44}$$

Multiply 0.13 and 0.44 to get 0.0572.

$$150\times \frac{0.002197}{0.0572}$$

Expand \frac{0.002197}{0.0572} by multiplying both numerator and the denominator by 1000000.

$$150\times \frac{2197}{57200}$$

Reduce the fraction \frac{2197}{57200} to lowest terms by extracting and canceling out 13.

$$150\times \frac{169}{4400}$$

Express 150\times \frac{169}{4400} as a single fraction.

$$\frac{150\times 169}{4400}$$

Multiply 150 and 169 to get 25350.

$$\frac{25350}{4400}$$

Reduce the fraction \frac{25350}{4400} to lowest terms by extracting and canceling out 50.

$$\frac{507}{88}$$

Factor

$$\frac{3 \cdot 13 ^ {2}}{11 \cdot 2 ^ {3}} = 5\frac{67}{88} = 5.761363636363637$$