Solve frac{5^{2}*4^{3}*3^5}{5^0*4^3*3^2}

$$\frac { 5 ^ { 2 } \cdot 4 ^ { 3 } \cdot 3 ^ { 5 } } { 5 ^ { 0 } \cdot 4 ^ { 3 } \cdot 3 ^ { 2 } }$$

Evaluate

$$675$$

Solution Steps

Cancel out 3^{2}\times 4^{3} in both numerator and denominator.

$$\frac{3^{3}\times 5^{2}}{5^{0}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$3^{3}\times 5^{2}$$

Calculate 3 to the power of 3 and get 27.

$$27\times 5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$27\times 25$$

Multiply 27 and 25 to get 675.

$$675$$

Factor

$$3^{3}\times 5^{2}$$