How do you take positive rational numbers to whole-number powers

[maxmac97]

"How do you take positive rational numbers to whole-number powers"

What exactly does this mean. Could you please show me some examples

 

[stapel]

"How do you take positive rational numbers to whole-number powers"

What exactly does this mean. Could you please show me some examples

Look at any online lesson about fractions raised to powers (that is, about simplifying fractions which have an exponent applied to them). You can start with this listing of lessons.

 

[HallsofIvy]

"How do you take positive rational numbers to whole-number powers"

What exactly does this mean. Could you please show me some examples

The positive rational numbers are fractions of the form $\displaystyle \frac{a}{b}$ where a and b are both positive integers. The whole numbers are non-negative integers. Some examples are $\displaystyle \left(\frac{1}{2}\right)^2= \frac{1}{4}$. $\displaystyle \left(\frac{2}{3}\right)^3= \frac{8}{27}$. $\displaystyle \left(\frac{3}{4}\right)^0= 1$. In general $\displaystyle \left(\frac{a}{b}\right)^n= \frac{a^n}{b^n}$