(x^2y^3) = (xy^a)^b
in the equation above, a and b are constants, and the
equation is true for all x > 0 and y > 0. what is the
value of a ?
the correct answer is c, 3/2
!

C.

Step-by-step explanation:

To find the value f b, we need to compare the exponents.

The given exponential equation is:

Recall and apply the following rule of exponents.

We apply this rule on both sides to get:

Simplify the exponents on the left.

Comparing exponents of the same variables on both sides,

Divide both sides by 6.

kk.bj.

step-by-step explanation:

.mnm.kn.kj