Solve (xy^3)^4divx^3y^5

$$( x y ^ { 3 } ) ^ { 4 } \div x ^ { 3 } y ^ { 5 }$$

Evaluate

$$xy^{17}$$

Solution Steps

Expand \left(xy^{3}\right)^{4}.

$$\frac{x^{4}\left(y^{3}\right)^{4}}{x^{3}}y^{5}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$\frac{x^{4}y^{12}}{x^{3}}y^{5}$$

Cancel out x^{3} in both numerator and denominator.

$$xy^{12}y^{5}$$

To multiply powers of the same base, add their exponents. Add 12 and 5 to get 17.

$$xy^{17}$$

Expand

$$xy^{17}$$

Solution Steps

Expand \left(xy^{3}\right)^{4}.

$$\frac{x^{4}\left(y^{3}\right)^{4}}{x^{3}}y^{5}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$\frac{x^{4}y^{12}}{x^{3}}y^{5}$$

Cancel out x^{3} in both numerator and denominator.

$$xy^{12}y^{5}$$

To multiply powers of the same base, add their exponents. Add 12 and 5 to get 17.

$$xy^{17}$$