Solve 2^2*3^5*4^2/2^4*{3^2}

$$\frac{ { 2 }^{ 2 } \times { 3 }^{ 5 } \times { 4 }^{ 2 } }{ { 2 }^{ 4 } \times { 3 }^{ 2 } }$$

Evaluate

$$108$$

Solution Steps

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

$$\frac{3^{3}\times 4^{2}}{2^{2}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{27\times 4^{2}}{2^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{27\times 16}{2^{2}}$$

Multiply 27 and 16 to get 432.

$$\frac{432}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{432}{4}$$

Divide 432 by 4 to get 108.

$$108$$

Factor

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