Solve (5*5*5)^2/5^2*5^2*5^3=

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

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{\left(5\times 5\times 5\right)^{2}}{5^{4}\times 5^{3}}$$

To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.

$$\frac{\left(5\times 5\times 5\right)^{2}}{5^{7}}$$

Multiply 5 and 5 to get 25.

$$\frac{\left(25\times 5\right)^{2}}{5^{7}}$$

Multiply 25 and 5 to get 125.

$$\frac{125^{2}}{5^{7}}$$

Calculate 125 to the power of 2 and get 15625.

$$\frac{15625}{5^{7}}$$

Calculate 5 to the power of 7 and get 78125.

$$\frac{15625}{78125}$$

Reduce the fraction \frac{15625}{78125} to lowest terms by extracting and canceling out 15625.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$