rule
For all numbers x and y and integers n and m,
ruleppro
ppropic


BOTH the "top" and the "bottom" get raised to the new power!

When a quotient is raised to a power, the numerator will be raised to the power, AND the denominator will be raised to the power.

When in doubt, expand terms to see what is happening.

quotpic
quotex

xdiv

Examples:

1.  qt1
Notice that the exponent is applied to both the numerator and the denominator.

2.  1t2  

3.  qt3
Be careful on this one. Remember that the fraction bar means "divide". The negative exponent in this problem creates a division of fractions situation. Remember, when dividing fractions, invert (flip over) the second term and multiply.
4.   qt4 
This is another situation of the negative exponent creating a division of fractions situation.
Did you notice in this problem that raising a fraction to a negative one power, flipped the fraction over?

 

divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
and is not considered "fair use" for educators. Please read the "Terms of Use".