x^-n(x^2m)^3 / x^2m + n

I get:

x^-n(x^2m)^2 / x^n

aaand stuck

Answer should be:

x^4m-2n

Question

x^-n(x^2m)^3 / x^2m + n

I get:

x^-n(x^2m)^2 / x^n

aaand stuck

Answer should be:

x^4m-2n

jack1 · Answer

could you rephrase that in the form of a sandwich?

jack1 · Answer

sorry, distracted by dinner
is x^-n cubed as well?

anonymous · Answer

hmm, you're right that's not very clear, I'll rewrite it :)

jack1 · Answer

x^-n(x^2m)^3 / x^2m + n
is it...?
$$x ^{-n} \times (x ^{2m})^{3}$$

anonymous · Answer

$$x^{-n}(x^{2m})^3 / x^{2m + n}$$

anonymous · Answer

so yes :)

jack1 · Answer

so first spread out the brackets:
x^-n  .  x^6m   /   x^2m + n

jack1 · Answer

as you've got the same base for the numerator part of the eqn:
= x^(6m - n) / x^(2m +n)

jack1 · Answer

and  1/ x^(2m +n)
=  ( x^(2m +n) )^-1

jack1 · Answer

so you spread out the brackets again:
=  ( x^(6m - n) ) times (( x^(2m +n) )^-1)

$$x ^{6m - n} \times x ^{-2m - n}$$

jack1 · Answer

and again, same base, so add the powers together
= x ^( (6m - n) + (- 2m - n) )
= x^(4m - 2n)

jack1 · Answer

give us a heads up if you need clarification on anything, slaters

anonymous · Answer

hmm, I'll have to go over this, thank you!

anonymous · Answer

allright, finally got it :P thanks