Solve (2/5)^-2+(1/2)^3:(0,1)^-2

$$( \frac { 2 } { 5 } ) ^ { - 2 } + ( \frac { 1 } { 2 } ) ^ { 3 } : ( 0,1 ) ^ { - 2 }$$

Evaluate

$$6,25125$$

Solution Steps

Calculate \frac{2}{5} to the power of -2 and get \frac{25}{4}.

$$\frac{25}{4}+\frac{\left(\frac{1}{2}\right)^{3}}{0,1^{-2}}$$

Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.

$$\frac{25}{4}+\frac{\frac{1}{8}}{0,1^{-2}}$$

Calculate 0,1 to the power of -2 and get 100.

$$\frac{25}{4}+\frac{\frac{1}{8}}{100}$$

Express \frac{\frac{1}{8}}{100} as a single fraction.

$$\frac{25}{4}+\frac{1}{8\times 100}$$

Multiply 8 and 100 to get 800.

$$\frac{25}{4}+\frac{1}{800}$$

Add \frac{25}{4} and \frac{1}{800} to get \frac{5001}{800}.

$$\frac{5001}{800}$$

Factor

$$\frac{3 \cdot 1667}{2 ^ {5} \cdot 5 ^ {2}} = 6\frac{201}{800} = 6.25125$$