Solve {left(0.6/8right)}^2*7*0.02

$${ \left( \frac{ 0.6 }{ 8 } \right) }^{ 2 } \times 7 \times 0.02$$

Evaluate

$$0.0007875$$

Solution Steps

Expand \frac{0.6}{8} by multiplying both numerator and the denominator by 10.

$$\left(\frac{6}{80}\right)^{2}\times 7\times 0.02$$

Reduce the fraction \frac{6}{80} to lowest terms by extracting and canceling out 2.

$$\left(\frac{3}{40}\right)^{2}\times 7\times 0.02$$

Calculate \frac{3}{40} to the power of 2 and get \frac{9}{1600}.

$$\frac{9}{1600}\times 7\times 0.02$$

Multiply \frac{9}{1600} and 7 to get \frac{63}{1600}.

$$\frac{63}{1600}\times 0.02$$

Multiply \frac{63}{1600} and 0.02 to get \frac{63}{80000}.

$$\frac{63}{80000}$$

Factor

$$\frac{7 \cdot 3 ^ {2}}{2 ^ {7} \cdot 5 ^ {4}} = 0.0007875$$