Solve 0.8^2*0.4div0.6^2=

$${ 0.8 }^{ 2 } \times 0.4 \div { 0.6 }^{ 2 } =$$

Evaluate

$$\frac{32}{45}\approx 0.711111111$$

Solution Steps

Calculate 0.8 to the power of 2 and get 0.64.

$$\frac{0.64\times 0.4}{0.6^{2}}$$

Multiply 0.64 and 0.4 to get 0.256.

$$\frac{0.256}{0.6^{2}}$$

Calculate 0.6 to the power of 2 and get 0.36.

$$\frac{0.256}{0.36}$$

Expand \frac{0.256}{0.36} by multiplying both numerator and the denominator by 1000.

$$\frac{256}{360}$$

Reduce the fraction \frac{256}{360} to lowest terms by extracting and canceling out 8.

$$\frac{32}{45}$$

Factor

$$\frac{2 ^ {5}}{5 \cdot 3 ^ {2}} = 0.7111111111111111$$