SOLUTION: Which expression is not equivalent to x to the 3rd power times x to the -7 power. Answers u can choose from: x to the -4 power,1 divided by x to the 4th power,x to the 7th powe

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Which expression is not equivalent to x to the 3rd power times x to the -7 power. Answers u can choose from: x to the -4 power,1 divided by x to the 4th power,x to the 7th powe      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 63041This question is from textbook Pre-Algebra
: Which expression is not equivalent to x to the 3rd power times x to the -7 power.
Answers u can choose from: x to the -4 power,1 divided by x to the 4th power,x to the 7th power divided by x to the 3rd power,x to the 3rd power divided by x to the 7th power.This question is from textbook Pre-Algebra

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Your question is,
Which expression is equvalent to x^3 * x^-7
This can be siplifies like this,

x^3 * x^-7 = x^(3 + -7 )
= x^-4


Now consider the choices,


1. is x^-4, which is same


2. is 1/x^4 = x^-4 because 1/x^m = x^-m
which is also same.


3. is x^7/x^3 = x^(7-3) = x^4, (because, x^m/x^n = x^(m-n)

which is not equvalent.


4. is x^3/x^7 = x^(3-7) = x^-4, which is also equavalent.


So your answer is third one that is x^7/x^3


Hope you understood.

Regards
praseenakos@yahoo.co.in