Solve 40(15*15-5*5)/(15+5)^4

$$\frac { 40 ( 15 \times 15 - 5 \times 5 ) } { ( 15 + 5 ) ^ { 4 } }$$

Evaluate

$$\frac{1}{20}=0.05$$

Solution Steps

Multiply 15 and 15 to get 225.

$$\frac{40\left(225-5\times 5\right)}{\left(15+5\right)^{4}}$$

Multiply 5 and 5 to get 25.

$$\frac{40\left(225-25\right)}{\left(15+5\right)^{4}}$$

Subtract 25 from 225 to get 200.

$$\frac{40\times 200}{\left(15+5\right)^{4}}$$

Multiply 40 and 200 to get 8000.

$$\frac{8000}{\left(15+5\right)^{4}}$$

Add 15 and 5 to get 20.

$$\frac{8000}{20^{4}}$$

Calculate 20 to the power of 4 and get 160000.

$$\frac{8000}{160000}$$

Reduce the fraction \frac{8000}{160000} to lowest terms by extracting and canceling out 8000.

$$\frac{1}{20}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 5} = 0.05$$