If you answer these two questions, that would be awesome, on my other questions i have asked the same one twice so if you want more points go on to my other questions and just put the same thing. hopefully someone see's this.


Answer:
[tex]\sqrt[3]{x^2}[/tex]
x ^( 1/8)
Step-by-step explanation:
x ^ (5/6) ÷ x ^ (1/6)
We know that a^ b ÷ a ^c = a^ ( b-c)
x^ ( 5/6 - 1/6)
x^ (4/6)
x ^ 2/3
[tex]\sqrt[3]{x^2}[/tex]
[tex]\sqrt{x}[/tex][tex]\sqrt[\\4]{x}[/tex]
x ^ 1/2 * x ^ 1/4
We know that a^ b * a ^ c = a^ (b*c)
x ^ (1/2 * 1/4)
x ^( 1/8)
Answer:
[tex]\huge \boxed{\sqrt[3]{x^{2} } } \\ \\ \huge \boxed{x^{\frac{3}{4} } }[/tex]
Step-by-step explanation:
Part 1:
x^(5/6) ÷ x^(1/6)
Applying exponent rule : a^b ÷ a^c = a^(b-c)
x^(5/6-1/6)
x^(4/6)
Simplifying the exponent.
x^(2/3)
Converting to simplest radical form.
(x^2)^(1/3)
[tex]\sqrt[3]{x^{2} }[/tex]
Part 2:
[tex]\sqrt{x} \times \sqrt[4]{x}[/tex]
Converting to exponent form.
x^(1/2) × x^(1/4)
Applying exponent rule : a^b × a^c = a^(b+c)
x^(1/2+1/4)
x^(2/4+1/4)
x^(3/4)