Solve frac{(36)^frac{7{2}}-(36)^frac{9{2}}}{(36)^frac{5{2}}}=

$$\frac { ( 36 ) ^ { \frac { 7 } { 2 } } - ( 36 ) ^ { \frac { 9 } { 2 } } } { ( 36 ) ^ { \frac { 5 } { 2 } } } =$$

Evaluate

$$-1260$$

Solution Steps

Calculate 36 to the power of \frac{7}{2} and get 279936.

$$\frac{279936-36^{\frac{9}{2}}}{36^{\frac{5}{2}}}$$

Calculate 36 to the power of \frac{9}{2} and get 10077696.

$$\frac{279936-10077696}{36^{\frac{5}{2}}}$$

Subtract 10077696 from 279936 to get -9797760.

$$\frac{-9797760}{36^{\frac{5}{2}}}$$

Calculate 36 to the power of \frac{5}{2} and get 7776.

$$\frac{-9797760}{7776}$$

Divide -9797760 by 7776 to get -1260.

$$-1260$$

Factor

$$-1260$$