Solve 5^2*3^2/left(5^2right)^2

$$\frac{ { 5 }^{ 2 } \times { 3 }^{ 2 } }{ { \left( { 5 }^{ 2 } \right) }^{ 2 } }$$

Evaluate

$$\frac{9}{25}=0.36$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

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

Cancel out 5^{2} in both numerator and denominator.

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

Calculate 3 to the power of 2 and get 9.

$$\frac{9}{5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{9}{25}$$

Factor

$$\frac{3 ^ {2}}{5 ^ {2}} = 0.36$$