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rewrite rational expression to a radical
- Thread starter Joanie10
- Start date
Joanie10 said:Rewrite as a radical x^2/3 * x^5/4 The answer I am coming up with doesn't seem right. I get x^7/12 as an answer to the fraction part, but I need it rewritten as a radical.
Your answer x[sup:30r1l66n]7/12[/sup:30r1l66n] is not correct.
Here are the two rules you need to generate the correct response.
\(\displaystyle x^\frac{a}{b}x^{\frac{c}{d}}=x^{(\frac{a}{b}+\frac{c}{d})}=x^{\frac{ad+bc}{bd}}\)
\(\displaystyle x^{\frac{a}{b}}=\sqrt{x^a}\)
Joanie10 said:Thank you very much. I could not find this formula in my book or elsewhere.
Joanie10,
you must have grouping symbols around the exponents such as
x^(2/3)*x^(5/4) to indicate \(\displaystyle x^\frac{2}{3}x^\frac{5}{4}\)
Otherwise, as you have typed x^2/3*x^5/4, that is equal to
\(\displaystyle [(x^2)/3][(x^5)/4 =\)
\(\displaystyle \frac{x^2}{3}\cdot \frac{x^5}{4} =\)
\(\displaystyle \frac{x^7}{12}, \ but \ that \ is \ not \ what \ you \ intended.\)