Solve 17^15/51^14*9^7-5^0

$$\frac { 17 ^ { 15 } } { 51 ^ { 14 } } \cdot 9 ^ { 7 } - 5 ^ { 0 }$$

Evaluate

$$16$$

Solution Steps

Calculate 17 to the power of 15 and get 2862423051509815793.

$$\frac{2862423051509815793}{51^{14}}\times 9^{7}-5^{0}$$

Calculate 51 to the power of 14 and get 805345924720991301978201.

$$\frac{2862423051509815793}{805345924720991301978201}\times 9^{7}-5^{0}$$

Reduce the fraction \frac{2862423051509815793}{805345924720991301978201} to lowest terms by extracting and canceling out 168377826559400929.

$$\frac{17}{4782969}\times 9^{7}-5^{0}$$

Calculate 9 to the power of 7 and get 4782969.

$$\frac{17}{4782969}\times 4782969-5^{0}$$

Multiply \frac{17}{4782969} and 4782969 to get 17.

$$17-5^{0}$$

Calculate 5 to the power of 0 and get 1.

$$17-1$$

Subtract 1 from 17 to get 16.

$$16$$

Factor

$$2^{4}$$