What is the following product? assume x ≥ 0\sqrt[3]{x^{2} } . \sqrt[4]{x^{3} }a. x\sqrt{x}b. \sqrt[12]{x^{5} }c. x(\sqrt[12]{x^{5} } )d. x6

For this case we must multiply the following expression:

By definition of properties of otencias and roots we have:

We rewrite the terms of the expression:

So, we have:

Applying the above definition we have:

We multiply the exponents:

We combine using the product rule for radicals.

By definition of multiplication properties of powers of the same base, we put the same base and add the exponents:

Option C

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)