Solve 2.2^10/4.2^6

$$\frac{ { 2.2 }^{ 10 } }{ { 4.2 }^{ 6 } }$$

Evaluate

$$\frac{25937424601}{53603825625}\approx 0.48387264$$

Solution Steps

Calculate 2.2 to the power of 10 and get 2655.9922791424.

$$\frac{2655.9922791424}{4.2^{6}}$$

Calculate 4.2 to the power of 6 and get 5489.031744.

$$\frac{2655.9922791424}{5489.031744}$$

Expand \frac{2655.9922791424}{5489.031744} by multiplying both numerator and the denominator by 10000000000.

$$\frac{26559922791424}{54890317440000}$$

Reduce the fraction \frac{26559922791424}{54890317440000} to lowest terms by extracting and canceling out 1024.

$$\frac{25937424601}{53603825625}$$

Factor

$$\frac{11 ^ {10}}{3 ^ {6} \cdot 5 ^ {4} \cdot 7 ^ {6}} = 0.48387263965919597$$