Solve 2.5*(2*10^-1)^2/0.01*2

$$\frac { 2.5 \times ( 2 \times 10 ^ { - 1 } ) ^ { 2 } } { 0.01 \times 2 }$$

Evaluate

$$5$$

Solution Steps

Calculate 10 to the power of -1 and get \frac{1}{10}.

$$\frac{2.5\times \left(2\times \frac{1}{10}\right)^{2}}{0.01\times 2}$$

Multiply 2 and \frac{1}{10} to get \frac{1}{5}.

$$\frac{2.5\times \left(\frac{1}{5}\right)^{2}}{0.01\times 2}$$

Calculate \frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$\frac{2.5\times \frac{1}{25}}{0.01\times 2}$$

Multiply 2.5 and \frac{1}{25} to get \frac{1}{10}.

$$\frac{\frac{1}{10}}{0.01\times 2}$$

Multiply 0.01 and 2 to get 0.02.

$$\frac{\frac{1}{10}}{0.02}$$

Express \frac{\frac{1}{10}}{0.02} as a single fraction.

$$\frac{1}{10\times 0.02}$$

Multiply 10 and 0.02 to get 0.2.

$$\frac{1}{0.2}$$

Expand \frac{1}{0.2} by multiplying both numerator and the denominator by 10.

$$\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$5$$

Factor

$$5$$