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.

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step-by-step explanation:

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in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.