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

What is the following product? Assume x>/=0 ^3sqrt(x^2)*^sqrtx^3-example-1
User Zermingore
by
7.5k points

2 Answers

1 vote

Answer:

Its C git

Explanation:

User Daniel Corin
by
7.4k points
3 votes

Answer:


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.

User Keser
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6.3k points