which of the following are equivalent to the expression x1/2 • x1/3 select all that apply

Question

contestada

Respuesta :

ACCESS MORE ACCESS MORE ACCESS MORE ACCESS MORE

JannetPalos JannetPalos · Answer 1 · 2019-01-08T19:40:20+01:00

Answer:

[tex]x^{\frac{1}{2}+\frac{1}{3} }[/tex], [tex]x^{\frac{5}{6} }[/tex] and [tex]\sqrt[6]{x^{5} }[/tex]

Step-by-step explanation:

[tex]a^{m} a^{n} =a^{m+n}[/tex]

So, [tex]x^{\frac{1}{2} } x^{\frac{1}{3} } =x^{\frac{1}{2} +\frac{1}{3} }[/tex]

Also,

[tex]x^{\frac{1}{2} +\frac{1}{3} } =x^{\frac{3+2}{6} } =x^{\frac{5}{6} }[/tex]

[tex]x^{\frac{5}{6} } =(x^{5} )^{\frac{1}{6} }= \sqrt[6]{x^{5} }[/tex]

Answer Link

ColinJacobus ColinJacobus · Answer 2 · 2019-02-28T05:58:39+01:00

Answer: The answer is (2), (4) and (6).

Step-by-step explanation: The given expression is

[tex]E=x^\frac{1}{2}\times x^\frac{1}{3}.[/tex]

We are to select all the correct options from the given expressions that are equivalent to the above expression.

We have

[tex]E\\\\=x^\frac{1}{2}\times x^\frac{1}{3}\\\\=x^{\frac{1}{2}+\frac{1}{3}}\\\\=x^\frac{3+2}{6}\\\\=x^\frac{5}{6}\\\\=\sqrt[6]{5}.[/tex]

Thus, the correct options are

(2) [tex]x^{\frac{1}{2}+\frac{1}{3}},[/tex]

(4) [tex]x^\frac{5}{6},[/tex]

(6) [tex]\sqrt[6]{5}.[/tex]