Solve .6*1.2^2div(0.8^4

$$.6 \times { 1.2 }^{ 2 } \div ( { 0.8 }^{ 4 }$$

Evaluate

$$2.109375$$

Solution Steps

Calculate 1.2 to the power of 2 and get 1.44.

$$\frac{0.6\times 1.44}{0.8^{4}}$$

Multiply 0.6 and 1.44 to get 0.864.

$$\frac{0.864}{0.8^{4}}$$

Calculate 0.8 to the power of 4 and get 0.4096.

$$\frac{0.864}{0.4096}$$

Expand \frac{0.864}{0.4096} by multiplying both numerator and the denominator by 10000.

$$\frac{8640}{4096}$$

Reduce the fraction \frac{8640}{4096} to lowest terms by extracting and canceling out 64.

$$\frac{135}{64}$$

Factor

$$\frac{5 \cdot 3 ^ {3}}{2 ^ {6}} = 2\frac{7}{64} = 2.109375$$