Solve frac{5^{3}*5^2}{5^4*5^3*5^-1}

$$\frac { 5 ^ { 3 } \cdot 5 ^ { 2 } } { 5 ^ { 4 } \cdot 5 ^ { 3 } \cdot 5 ^ { - 1 } }$$

Evaluate

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

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{5^{5}}{5^{4}\times 5^{3}\times 5^{-1}}$$

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

$$\frac{5^{5}}{5^{7}\times 5^{-1}}$$

To multiply powers of the same base, add their exponents. Add 7 and -1 to get 6.

$$\frac{5^{5}}{5^{6}}$$

Rewrite 5^{6} as 5\times 5^{5}. Cancel out 5^{5} in both numerator and denominator.

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

Factor

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