Please help me to simplify this expression. . .
I actually worked it to the point I got:
The original equation is
11^(2/5)
11^(4/5)
1
121^(1/5)Can you show me or tell me how to solve this to where there is no rational # on bottom?
Please help me to simplify this expression. . .
I actually worked it to the point I got:
The original equation is
11^(2/5)
11^(4/5)
1
121^(1/5)Can you show me or tell me how to solve this to where there is no rational # on bottom?
Try using exponent rules:
. . . . .$\displaystyle \frac{x^m}{x^n}\, =\, x^{m\, -\, n}$
In your case, this means that the original expression simplifies as $\displaystyle 11^{-\frac{2}{5}}\, =\, \frac{1}{(11^2)^{\frac{1}{5}}}$, as you mention.
Now you need to rationalize the radical denominator.
Hint: To be able to take the 121 out of the radical (the fifth root that is indicated by the one-fifth power), you need four more copies of 121 inside the root. So what should you multiply by?
Highlight the space below for a bigger hint.
$\displaystyle \huge\color{white}\frac{121^{\frac{4}{5}}}{121^{\f rac{4}{5}}}$