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18
votes
3answers
2k views
Can you raise a number to an irrational exponent?
The way that I was taught it in 8th grade algebra, a number raised to a fractional exponent, i.e. $a^\frac x y$ is equivalent to the denominatorth root of the number raised to the numerator, i.e. ...
2
votes
2answers
1k views
Exponents in the denominator?
I'm having trouble understanding exponents in the denominator.
For example: I have the expression: $\displaystyle 1 - \frac{1}{3^n} + \frac{2}{3^{n+1}}$.
I know that this simplifies to $\displaystyle ...
0
votes
2answers
232 views
Graphing Fractional Exponents
$f(x)=x^\frac{5}{3}-5x^\frac{2}{3}$
is the same as :
$f(x)=(\sqrt[3]x)^5-(\sqrt[3]{5x})^2$
Except, with the first equation, my calculator returns an error for negative values of $x$ (We are ...
