SOLUTION: hello, simplify (x^-6 . x^-4)=^2 I came up with the answer (x^-6 + 4 )^2 is this correct? if not could you show me the correct answer. thanks

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: hello, simplify (x^-6 . x^-4)=^2 I came up with the answer (x^-6 + 4 )^2 is this correct? if not could you show me the correct answer. thanks      Log On


   

Question 22057: hello, simplify
(x^-6 . x^-4)=^2
I came up with the answer (x^-6 + 4 )^2
is this correct? if not could you show me the correct answer. thanks
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
NOTE: I've answered a LOT of questions on the Laws of Exponents lately. If you are having trouble with this, you have GOT to see my Lesson Plan that I just noticed is not posted yet on algebra.com. Until I get it posted on algebra.com, you can get it on my website by clicking on my tutor name "rapaljer" anywhere in algebra.com, and go to "Basic Algebra", then "Samples from Basic Algebra: One Step", then in "Chapter 2" there are SEVERAL sections that deal with "Laws of Exponents." They are all free. I'll post them to algebra.com in the next couple of days.

%28x%5E-6+%2A+x%5E-4%29%5E2

If so, then when you multiply with the same base number, you ADD exponents.
%28x%5E%28%28-6%29%2B%28-4%29%29%29%5E2
x%5E-10%29%5E2

When you raise a power to a power, you must multiply the exponents:
x%5E-20

Never leave an answer with a negative exponent. Remember that a negative exponent means you have a fraction with a numerator of 1, and a positive denominator.
1%2F%28x%5E20%29

R^2 at SCC