Answer:
This is because exponents increase a number, for example [tex]2, and, 2^2[/tex] squaring a number is basically multiplying it by itself. So [tex]2 * 2 = 2^2=4[/tex]. Now obiviously 4 is greater than 2. But lets make the numbers like this:
[tex]\frac{1}{2}, and, \frac{1}{2}^2[/tex]
And again, [tex]\frac{1}{2}*\frac{1}{2} = (\frac{1}{2})^2 = \frac{1}{4}[/tex]
Now, which is bigger [tex]\frac{1}{2}or\frac{1}{4}[/tex]
A quarter is smaller than a half right?
So in this case we can see that fractions raised to an exponent get smaller while numbers raised to an exponent get bigger.
