SOLUTION: How do I simplify this? (2s^-1t^3/6st^-4)^-3

Question 329128: How do I simplify this? (2s^-1t^3/6st^-4)^-3
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do I simplify this?
(2s^-1t^3/6st^-4)^-3
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Work from the inside to the outside.
---
= [(2t^3/s)/6s/t^4)]^-3
---
Still inside:
Invert the denominator and multiply:
[(2t^3/s)(t^4/6s)]^-3
---
Still inside:
Simplify:
[(2t^7/6s^2)]^-3
---
= [t^7/3s^2]^-3
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Now, apply the "-3" exponent to get:
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= [(3s^2)/t^7]^3
---
= [27s^6/t^21]
=====================
Cheers,
Stan H.

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