Questions: Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents. (y/x)^7

Solution Steps

To simplify the expression \(\left(\frac{y}{x}\right)^{7}\), we can use the property of exponents that states \((\frac{a}{b})^n = \frac{a^n}{b^n}\). This means we will raise both the numerator and the denominator to the power of 7.

To simplify the expression \(\left(\frac{y}{x}\right)^{7}\), we use the property of exponents which states that \(\left(\frac{a}{b}\right)^{n} = \frac{a^{n}}{b^{n}}\). Thus, we can rewrite the expression as: \[ \left(\frac{y}{x}\right)^{7} = \frac{y^{7}}{x^{7}} \]

The simplified expression is now clearly represented as: \[ \frac{y^{7}}{x^{7}} \]

Final Answer