Solve (-a)^2*a^3div5^4

$$( - a ) ^ { 2 } \cdot a ^ { 3 } \div 5 ^ { 4 }$$

Evaluate

$$\frac{a^{5}}{625}$$

Solution Steps

Calculate -a to the power of 2 and get a^{2}.

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

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

$$\frac{a^{5}}{5^{4}}$$

Calculate 5 to the power of 4 and get 625.

$$\frac{a^{5}}{625}$$

Expand

$$\frac{a^{5}}{625}$$

Solution Steps

Calculate -a to the power of 2 and get a^{2}.

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

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

$$\frac{a^{5}}{5^{4}}$$

Calculate 5 to the power of 4 and get 625.

$$\frac{a^{5}}{625}$$