Solve (ab^2)^2/a^5

$$\frac { ( a b ^ { 2 } ) ^ { 2 } } { a ^ { 5 } }$$

Evaluate

$$\frac{b^{4}}{a^{3}}$$

Solution Steps

Expand \left(ab^{2}\right)^{2}.

$$\frac{a^{2}\left(b^{2}\right)^{2}}{a^{5}}$$

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

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

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

$$\frac{b^{4}}{a^{3}}$$

Expand

$$\frac{b^{4}}{a^{3}}$$

Solution Steps

Expand \left(ab^{2}\right)^{2}.

$$\frac{a^{2}\left(b^{2}\right)^{2}}{a^{5}}$$

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

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

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

$$\frac{b^{4}}{a^{3}}$$