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Answer/Discussion to Practice Problems

Tutorial 5: Rational Exponents



 

 

check markAnswer/Discussion to 1a

prob 1a


 
ad1a

 
We are looking for the square root of 100 raised to the 1 power, which is the same as just saying the square root of 100. 

If your exponent's numerator is 1, you are basically just looking for the root (the denominator's exponent). 

Our answer is 10 since the square root of 100 is 10.


 


 

check markAnswer/Discussion to 1b

prob 1b


 
ad1b

 

*Rewrite exponent 2/3 as a cube root being squared

*Cube root of -1/64 = -1/4
 
 

 


 
In this problem we are looking for the cube root of -1/64 squared.  Again, I think it is easier to do the root part first if possible.  The numbers will be easier to work with. 

The cube root of -1/64 is -4 and (-4) squared is 16.


 


 

check markAnswer/Discussion to 2a

prob 2a


 
ad2a

 


 


 

check markAnswer/Discussion to 2b

prob 2b


 
ad2b

*Rewrite as recip. of base raised to pos. exp.

*Square root of 16 = 4
 


 


 

check markAnswer/Discussion to 2c

prob 2c


 
ad2c

 
 
 

* Divide like bases, sub. exp
 
 
 
 
 
 
 

*Rewrite as recip. of base raised to pos. exp.
 
 

 


 


 

Check markAnswer/Discussion to 3a

prob 3a


 
ad3a

*Simplify exponent
*Rewrite exponent 3/2 as a square root of x cubed

 


 

 

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Last revised on Dec. 6, 2009 by Kim Seward.
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