## Understanding (k^5)^9

In mathematics, when we have an exponent raised to another exponent, we use the **rule of exponents** that states: **(a^m)^n = a^(m*n)**.

Let's apply this rule to our expression (k^5)^9:

**1. Identify the base and exponents:**

- The
**base**is 'k'. - The first
**exponent**is '5'. - The second
**exponent**is '9'.

**2. Apply the rule:**

- (k^5)^9 = k^(5 * 9)

**3. Simplify:**

- k^(5 * 9) =
**k^45**

**Therefore, (k^5)^9 is equivalent to k^45.**

**In simpler terms:**
This expression means we are multiplying 'k' by itself 5 times, and then we are taking that result and multiplying it by itself 9 times. This can be simplified to multiplying 'k' by itself 45 times.