Solve 2^2*3^2/3*left(2^3right)^2

$$\frac{ { 2 }^{ 2 } \times { 3 }^{ 2 } }{ 3 \times { \left( { 2 }^{ 3 } \right) }^{ 2 } }$$

Evaluate

$$\frac{3}{16}=0.1875$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\frac{2^{2}\times 3^{2}}{3\times 2^{6}}$$

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

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

Calculate 2 to the power of 4 and get 16.

$$\frac{3}{16}$$

Factor

$$\frac{3}{2 ^ {4}} = 0.1875$$