The value of k is –6.
Solution:
Given equation:

To find the value of k:

Using exponent rule:


Using exponent rule:


Using exponent rule:



If the bases are same then, we can equate the powers of the bases.
i. e. If
then m = n.
k + 9 = 3
Subtract 9 from both sides of the equation, we get
k = –6
Hence the value of k is –6.