Solve frac{3^{2}(6^-12)^-2}{((24)^29-1)^2}

$$\frac { 3 ^ { 2 } ( 6 ^ { - 1 } 2 ) ^ { - 2 } } { ( ( 24 ) ^ { 29 } - 1 ) ^ { 2 } }$$

Evaluate

$$\frac{81}{112785175397411382056950518813941617508218415059586466996982995699863199550537729}\approx 7.181794922 \cdot 10^{-79}$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{9\times \left(6^{-1}\times 2\right)^{-2}}{\left(24^{29}-1\right)^{2}}$$

Calculate 6 to the power of -1 and get \frac{1}{6}.

$$\frac{9\times \left(\frac{1}{6}\times 2\right)^{-2}}{\left(24^{29}-1\right)^{2}}$$

Multiply \frac{1}{6} and 2 to get \frac{1}{3}.

$$\frac{9\times \left(\frac{1}{3}\right)^{-2}}{\left(24^{29}-1\right)^{2}}$$

Calculate \frac{1}{3} to the power of -2 and get 9.

$$\frac{9\times 9}{\left(24^{29}-1\right)^{2}}$$

Multiply 9 and 9 to get 81.

$$\frac{81}{\left(24^{29}-1\right)^{2}}$$

Calculate 24 to the power of 29 and get 10620036506406716776157242913621199028224.

$$\frac{81}{\left(10620036506406716776157242913621199028224-1\right)^{2}}$$

Subtract 1 from 10620036506406716776157242913621199028224 to get 10620036506406716776157242913621199028223.

$$\frac{81}{10620036506406716776157242913621199028223^{2}}$$

Calculate 10620036506406716776157242913621199028223 to the power of 2 and get 112785175397411382056950518813941617508218415059586466996982995699863199550537729.

$$\frac{81}{112785175397411382056950518813941617508218415059586466996982995699863199550537729}$$