%5E9.jpeg "(k^5)^9")
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.