Question

What is the following product? Assume x>/=0 ^3sqrt(x^2)*^sqrtx^3

Answer 1

Its C git

Explanation:

Answer 2

`x(\sqrt[12]{x^5} )`

Explanation:

We need to remember 2 rules when doing these:

1.
`\sqrt[n]{x^a} =x^{(a)/(n)}`

2.
`x^a*x^b=x^(ab)`

Using these 2 rules, we can simplify the product (steps shown below):

`\sqrt[3]{x^2} *\sqrt[4]{x^3} \\=x^{(2)/(3)}*x^{(3)/(4)}\\=x^{(2)/(3)+(3)/(4)}\\=x^{(17)/(12)}\\=x^{(12)/(12)+(5)/(12)}\\=x(x^{(5)/(12)})\\=x(\sqrt[12]{x^5} )`

Rearranging, we see that it is the third choice.