iwanttogotostanford
  • iwanttogotostanford
HELP W/ ACT PREP QUESTION: Which of the following equations expresses c in terms of a for all real numbers, a, b, and c such that a^3=b and b^2=c? 1.) c=a^6 2.) c= a^5 3.) c=2a^3 4.) c=1/2 a 5.) c= a
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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iwanttogotostanford
  • iwanttogotostanford
@Vocaloid @zepdrix @pooja195
iwanttogotostanford
  • iwanttogotostanford
@Nnesha
jim_thompson5910
  • jim_thompson5910
replace b with a^3 b^2 = c (b)^2 = c (a^3)^2 = c I'll let you finish up

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iwanttogotostanford
  • iwanttogotostanford
@jim_thompson5910 im not sure how to finish! Also, what was your reassigning in knowing how to do that??
jim_thompson5910
  • jim_thompson5910
I replaced b with a^3 because the first equation is a^3 = b or b = a^3 a^3 is the same as b, which is why the replacement can be done
jim_thompson5910
  • jim_thompson5910
you'll use \[\LARGE (x^a)^b = x^{a*b}\]
jim_thompson5910
  • jim_thompson5910
eg: \[\LARGE (x^8)^5=x^{8*5}=x^{40}\]
iwanttogotostanford
  • iwanttogotostanford
is that ALg. 2??
jim_thompson5910
  • jim_thompson5910
yeah you'd most likely learn that in alg 2
jim_thompson5910
  • jim_thompson5910
maybe alg 1, it depends on the teacher
iwanttogotostanford
  • iwanttogotostanford
so it would be choice number 1?
iwanttogotostanford
  • iwanttogotostanford
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
yes, c = a^6

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