MATH SOLVE

9 months ago

Q:
# which of the following are equivalent to the expression x1/2 β’ x1/3 select all that apply

Accepted Solution

A:

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]