SOLUTION: Simplify and use positive exponents: (-4^-6 y^-6)^-4 I came up with an answer of -4^24 y^24 Is this correct?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify and use positive exponents: (-4^-6 y^-6)^-4 I came up with an answer of -4^24 y^24 Is this correct?      Log On


   

Question 278925: Simplify and use positive exponents:
(-4^-6 y^-6)^-4
I came up with an answer of -4^24 y^24
Is this correct?
Found 2 solutions by checkley77, Edwin McCravy:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(-4^-6 y^-6)^-4
(-4^[-6*-4]Y^[-6*-4])
(-4^24Y^24) ANS.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!


You and the other tutor both missed the sign.  The answer
is positive not negative!  
Never confuse -4%5E%28exponent%29 with %28-4%29%5E%28exponent%29!  That is
a very common error!

%28-4%5E%28-6%29y%5E%28-6%29%29%5E%28-4%29

Consider the negative sign in front to be %28-1%29%5E1%2A%22%22

%28%28-1%29%5E1%2A4%5E%28-6%29y%5E%28-6%29%29%5E%28-4%29

Next remove the parentheses by multiplying each 
of the three inside exponents by the outside exponent -4


%28-1%29%5E%28-4%29%2A4%5E%28%22%22%2B24%29y%5E%28%22%22%2B24%29

The term in front is %22%22%2B1 because of the rule

negative%5E%28even%29=positive,  negative%5E%28odd%29=negative

So the final answer is

4%5E24y%5E24

Edwin