Solve 3^3*5^11/81*5^4*5^1

$$\frac { 3 ^ { 3 } \cdot 5 ^ { 11 } } { 81 \cdot 5 ^ { 4 } \cdot 5 ^ { 1 } }$$

Evaluate

$$\frac{15625}{3}\approx 5208.333333333$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$\frac{3^{3}\times 5^{11}}{81\times 5^{5}}$$

Cancel out 5^{5} in both numerator and denominator.

$$\frac{3^{3}\times 5^{6}}{81}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{27\times 5^{6}}{81}$$

Calculate 5 to the power of 6 and get 15625.

$$\frac{27\times 15625}{81}$$

Multiply 27 and 15625 to get 421875.

$$\frac{421875}{81}$$

Reduce the fraction \frac{421875}{81} to lowest terms by extracting and canceling out 27.

$$\frac{15625}{3}$$

Factor

$$\frac{5 ^ {6}}{3} = 5208\frac{1}{3} = 5208.333333333333$$