Solve {left(4*0.5*0.5/0.02^2right)}^1

$${ \left( \frac{ 4 \times 0.5 \times 0.5 }{ { 0.02 }^{ 2 } } \right) }^{ 1 }$$

Evaluate

$$2500$$

Solution Steps

Multiply 4 and 0.5 to get 2.

$$\left(\frac{2\times 0.5}{0.02^{2}}\right)^{1}$$

Multiply 2 and 0.5 to get 1.

$$\left(\frac{1}{0.02^{2}}\right)^{1}$$

Calculate 0.02 to the power of 2 and get 0.0004.

$$\left(\frac{1}{0.0004}\right)^{1}$$

Expand \frac{1}{0.0004} by multiplying both numerator and the denominator by 10000.

$$\left(\frac{10000}{4}\right)^{1}$$

Divide 10000 by 4 to get 2500.

$$2500^{1}$$

Calculate 2500 to the power of 1 and get 2500.

$$2500$$

Factor

$$2^{2}\times 5^{4}$$