MATHEMATICS HIGH SCHOOL

Rewrite in simplest radical form x^ 5/6 over x^ 1/6 show each step of your process

Answers

Answer 1

Answer:

Answer:

The simplest Radical = $\sqrt{x^(3) }$

Step-by-step explanation:

The two terms of the fraction are $x^{(5)/(6)}$ ⇒numerator

and $x^{(1)/(6)}$ ⇒denominator

Both of them are same variable x

So we can use the rule of the power:

If we divide to terms have the same base we subtract their powers

$\frac{x^{(5)/(6) } }{x^{(1)/(6) } }=x^{(5)/(6)-(1)/(6) }=x^{(4)/(6) } =x^{(2)/(3) }$

If the power is in the shape of fraction so the numerator of the fraction represents the radical and the denominator represents the power inside the radical.

$x^{(2)/(3) }=\sqrt{x^(3) }$

Answer 2

Answer:

Answer: $\bold{\sqrt[3]{x^2} }$

Step-by-step explanation:

$\frac{x^{(5)/(6)}}{x^{(1)/(6)}}\n\n\n=x^{(5)/(6)-(1)/(6)}}}\n\n\n=x^{(4)/(6)}}}\n\n\n=x^{(2)/(3)}}}\n\n=\sqrt[3]{x^2}$

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Reciprocal of 0.002894