Solve 2^912^7/24^9

$$\frac{ { 2 }^{ 9 } { 12 }^{ 7 } }{ { 24 }^{ 9 } }$$

Evaluate

$$\frac{1}{144}\approx 0.006944444$$

Solution Steps

Calculate 2 to the power of 9 and get 512.

$$\frac{512\times 12^{7}}{24^{9}}$$

Calculate 12 to the power of 7 and get 35831808.

$$\frac{512\times 35831808}{24^{9}}$$

Multiply 512 and 35831808 to get 18345885696.

$$\frac{18345885696}{24^{9}}$$

Calculate 24 to the power of 9 and get 2641807540224.

$$\frac{18345885696}{2641807540224}$$

Reduce the fraction \frac{18345885696}{2641807540224} to lowest terms by extracting and canceling out 18345885696.

$$\frac{1}{144}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 3 ^ {2}} = 0.006944444444444444$$