Solve (17/9)^63^15/4^11

$$( 1 \frac { 7 } { 9 } ) ^ { 6 } \frac { 3 ^ { 15 } } { 4 ^ { 11 } }$$

Evaluate

$$108$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\left(\frac{9+7}{9}\right)^{6}\times \frac{3^{15}}{4^{11}}$$

Add 9 and 7 to get 16.

$$\left(\frac{16}{9}\right)^{6}\times \frac{3^{15}}{4^{11}}$$

Calculate \frac{16}{9} to the power of 6 and get \frac{16777216}{531441}.

$$\frac{16777216}{531441}\times \frac{3^{15}}{4^{11}}$$

Calculate 3 to the power of 15 and get 14348907.

$$\frac{16777216}{531441}\times \frac{14348907}{4^{11}}$$

Calculate 4 to the power of 11 and get 4194304.

$$\frac{16777216}{531441}\times \frac{14348907}{4194304}$$

Multiply \frac{16777216}{531441} and \frac{14348907}{4194304} to get 108.

$$108$$

Factor

$$2^{2}\times 3^{3}$$