dont know where to begin on [a^(-1/4)/b^(-1/2)]^(-8)

jamiexbox360

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honestly i dont know where to begin on this question

the problem is in the attachment. im new to this site, and desperate for help on this question.
 

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What are you supposed to be doing with this expression? What were the instructions?

Please be complete. Thank you! :wink:
 
the instructions say: simplify the expression. Assume all numbers are positive numbers. write your answer with positive exponents only.

we are working with rational exponents, but in my notes i have no example even close to this.
 
[a^(-1/4)/b^(-1/2)]^(-8)

You must use the rule....

[(a^m)/(b^n)]^x = (a^m)^x/(b^m)^x

And also remember that....

(a^m)^x = a^(mx)

and

a^(-x) = 1/(a^x)

Things are usually considered simplified if there are no negative exponents
 
jamiexbox360 said:
the instructions say: simplify the expression. Assume all numbers are positive numbers. write your answer with positive exponents only.

we are working with rational exponents, but in my notes i have no example even close to this.
Use the exponent rules you've learned.

For instance, what do you do with powers on powers (such as the -8 on the -1/4)? What can you do with powers on fractions? Where do these two considerations lead? :wink:
 
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