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Simplify with Positive Exponents

Mathematics
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Basically I'm tying the question
3Root(10x^3)^2/(10x^6)^-1
Please explain how i would do this.

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Other answers:

|dw:1366673324895:dw|
|dw:1366673351195:dw|
|dw:1366673369505:dw|
we're dealing with cube roots, not square roots. which is on of the important steps. STOP! no no anything with a negative exponent goes in the denominator
|dw:1366673420677:dw|
so first of all we need to multiple (10x^3)(10x^3)
Thats part of the questionn
contiue
ok so... multiplying (10x^3)^2 will give me 10^2x^6 or 100x^6
right
|dw:1366673520721:dw|
|dw:1366673544927:dw|
ya i got that
I can cancel out the x^6''s and 100/10 = 10 since 10 isn't divisible by 3 which is the cube root we are done.
|dw:1366673594742:dw|
answer key says 10x^4.
how can that be?
oH I see what they did.
they didn't cancel out the x^6's. funny. it should
if that's the case 6 is divisible by 3 so we have x^2
ok now I got it|dw:1366673704430:dw|
|dw:1366673744692:dw|
I'm being honest....I truly believe that those x^6's can be canceled out
because if you just focus on the x^6's for a bit and use elevator rule, I have no x's left
i cant see what u drew in black
I drew the answer that you have in the key, but I really think that's not correct because again I can cancel out the x^6's
|dw:1366673844126:dw|

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