Solve 3528(1-{left(5/100^right)}^2

$$3528(1- { \left( \frac{ 5 }{ { 100 }^{ } } \right) }^{ 2 }$$

Evaluate

$$\frac{175959}{50}=3519.18$$

Solution Steps

Calculate 100 to the power of 1 and get 100.

$$3528\left(1-\left(\frac{5}{100}\right)^{2}\right)$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$3528\left(1-\left(\frac{1}{20}\right)^{2}\right)$$

Calculate \frac{1}{20} to the power of 2 and get \frac{1}{400}.

$$3528\left(1-\frac{1}{400}\right)$$

Subtract \frac{1}{400} from 1 to get \frac{399}{400}.

$$3528\times \frac{399}{400}$$

Multiply 3528 and \frac{399}{400} to get \frac{175959}{50}.

$$\frac{175959}{50}$$

Factor

$$\frac{3 ^ {3} \cdot 7 ^ {3} \cdot 19}{2 \cdot 5 ^ {2}} = 3519\frac{9}{50} = 3519.18$$