SOLUTION: Simplify. Write the answers with positive exponents only. (x to the 2nd power)to the -3rd power (x to the -2nd power) Over (x tot he 2nd power)to the -4th power

Question 112532: Simplify. Write the answers with positive exponents only.
(x to the 2nd power)to the -3rd power (x to the -2nd power) Over
(x tot he 2nd power)to the -4th power
Answer by ilana(307) (Show Source): You can put this solution on YOUR website!
So we want to simplify ((x^2)^-3)*(x^-2)/((x^2)^-4).
First, multiply exponents in each term to get (x^-6)*(x^-2)/(x^-8).
Now, when you multiply two terms with the same base, add the exponents, so get (x^-8)/(x^-8). We could jump to the fact that anything divided by itself is 1, so this is 1. You could also first put terms with negative exponents in the opposite position- numerator or denominator to get x^8/x^8 = 1.
RELATED QUESTIONS
Simplify how?! [(-x to the 3rd power)to the 2nd power]to the 3rd... (answered by Alan3354)

write the following expression with only positive exponents 6 to the 5th power over 8... (answered by Alan3354)

x to the 2nd power over... (answered by MathLover1)

(2x(to the 2nd power)y) to the 3rd power * (x(to the 5th power) y(to the 3rd power))to... (answered by Fombitz)

[(-2x to 5th power y to the 2nd power) 2nd power] 3rd... (answered by benazir.sj@gmail.com)

solve the following equation: x(to the 3rd power) + 5x(to the 2nd... (answered by Earlsdon)

x to the 2nd power... (answered by tutorcecilia)

X to the 2nd power plus 5x (answered by Alan3354)

x to the 2nd power equals... (answered by Alan3354)