College Algebra Tutorial 2


College Algebra
Answer/Discussion to Practice Problems
Tutorial 2: Integer Exponents


WTAMU > Virtual Math Lab > College Algebra > Tutorial 2: Integer Exponents

 

 

Check MarkAnswer/Discussion to 1a

Problem 1a
 

Answer 1a
*Write the base -10 in a product 2 times
*Multiply 

 
(return to problem 1a)


 

 

Check MarkAnswer/Discussion to 1b

Problem 1b
 

Answer 1b
*Negate 10 squared
*Put a - in front of 10 written in a product 2 times
*Multiply

 
(return to problem 1b)


 

 

Check markAnswer/Discussion to 1c

Problem 1c
 

Answer 1c

*When mult. like bases you add your exponents: -2 + 2 = 0 and 4 + (-5) = -1

*Any base raised to the 0 power is 1
*Rewrite with a pos. exp. by taking recip. of base

 
 

Be careful here.  It is real tempting to take the reciprocal of -6 because of the negative sign.  Remember that you take the reciprocal of the base if the EXPONENT is negative not if the base is negative.

 
(return to problem 1c)


 

 

Check MarkAnswer/Discussion to 1d

Problem 1d
 

Answer 1d

*When raising a prod. to an exponent, raise each base of the prod to that exponent
*When you raise a base to two powers, you multiply your exponents

 
(return to problem 1d)


 

 

Check MarkAnswer/Discussion to 1e

Problem 1e
 

Answer 1e
*When div. like bases you subtract your exponents
 

*Rewrite b with a pos. exp. by taking its recip.
 
 

Be careful here.  It is real tempting to take the reciprocal of -3 because of the negative sign.  Remember that you take the reciprocal of the base if the EXPONENT is negative not if the base is negative.

 
(return to problem 1e)

 


 

Check MarkAnswer/Discussion to 1f

Problem 1f
 

Answer 1f

 

*When raising a quotient to an exponent, raise each base of the quotient to that exponent
*When you raise a base to two powers, you multiply your exponents

*Rewrite with a pos. exp. by taking recip. of base
 

 
 

(return to problem 1f)

 

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WTAMU > Virtual Math Lab > College Algebra > Tutorial 2: Integer Exponents


Last revised on Dec. 4, 2009 by Kim Seward.
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