Solve 1.2+2^2/9.2^9-2^10

$$\frac { 1.2 + 2 ^ { 2 } } { 9.2 ^ { 9 } - 2 ^ { 10 } }$$

Evaluate

$$\frac{5078125}{461094081334528}\approx 0.000000011$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{1.2+4}{9.2^{9}-2^{10}}$$

Add 1.2 and 4 to get 5.2.

$$\frac{5.2}{9.2^{9}-2^{10}}$$

Calculate 9.2 to the power of 9 and get 472161363.286556672.

$$\frac{5.2}{472161363.286556672-2^{10}}$$

Calculate 2 to the power of 10 and get 1024.

$$\frac{5.2}{472161363.286556672-1024}$$

Subtract 1024 from 472161363.286556672 to get 472160339.286556672.

$$\frac{5.2}{472160339.286556672}$$

Expand \frac{5.2}{472160339.286556672} by multiplying both numerator and the denominator by 1000000000.

$$\frac{5200000000}{472160339286556672}$$

Reduce the fraction \frac{5200000000}{472160339286556672} to lowest terms by extracting and canceling out 1024.

$$\frac{5078125}{461094081334528}$$

Factor

$$\frac{13 \cdot 5 ^ {8}}{173 \cdot 10411264481 \cdot 2 ^ {8}} = 1.101320794511733 \times 10^{-8}$$