Solve (x3/y^4)^4

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

Evaluate

$$\frac{x_{3}^{4}}{y^{16}}$$

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{x_{3}^{1}}{y^{4}}\right)^{4}$$

To raise the quotient of two numbers to a power, raise each number to the power and then divide.

$$\frac{\left(x_{3}^{1}\right)^{4}}{\left(y^{4}\right)^{4}}$$

To raise a power to another power, multiply the exponents.

$$\frac{x_{3}^{4}}{y^{4\times 4}}$$

Multiply 4 times 4.

$$\frac{x_{3}^{4}}{y^{16}}$$

Expand

$$\frac{x_{3}^{4}}{y^{16}}$$

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{x_{3}^{1}}{y^{4}}\right)^{4}$$

To raise the quotient of two numbers to a power, raise each number to the power and then divide.

$$\frac{\left(x_{3}^{1}\right)^{4}}{\left(y^{4}\right)^{4}}$$

To raise a power to another power, multiply the exponents.

$$\frac{x_{3}^{4}}{y^{4\times 4}}$$

Multiply 4 times 4.

$$\frac{x_{3}^{4}}{y^{16}}$$