What value of k makes the equation true? (5a^2 b^3)(6a^k b)=30a^6 b^4

k = 4

Step-by-step explanation:

We will solve the right side of the equation to find the value of k which makes this equation true.

Multiplying the terms on the left side of the equation to get:

=

Now we can write it as

Now the power of a on the left side (2 + k) should equal the power of a on the right side (6) of the equation to make it true.

2 + k = 6

k = 6 - 2 = 4

Therefore, k = 4 makes the equation true.