Simplify the following expressions by combining like terms.
`(y^(5))/(y^(2))`

Answer

To simplify the expression \(\frac{y^5}{y^2}\), we can use the laws of exponents. Here are the steps:

### Step-by-Step Solution:

1. **Identify the Expression**: We start with the expression \(\frac{y^5}{y^2}\).

2. **Apply the Law of Exponents**: According to the laws of exponents, when we divide two expressions with the same base, we subtract the exponents. This can be expressed as:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In our case, \(a = y\), \(m = 5\), and \(n = 2\).

3. **Subtract the Exponents**: We apply the law:
\[ \frac{y^5}{y^2} = y^{5-2} \]

4. **Calculate the Exponent**: Now, we perform the subtraction:
\[ 5 - 2 = 3 \]

5. **Write the Result**: Therefore, we have:
\[ y^{5-2} = y^3 \]

6. **Final Answer**: The simplified form of the expression \(\frac{y^5}{y^2}\) is:
\[ y^3 \]