Simplify (3x^-2 / 4x^3)^-3

puzzled01

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Please help. (3x^-2 / 4x^3)^-3
 

tkhunny

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(3x^-2 / 4x^3)^-3

I'll get you started.

(4x^3 / 3x^-2)^3

Now what? Use your rules of exponents.
 

puzzled01

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I got 64x^15 / 27 is that right? Is that is far as I can go?
 

Denis

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puzzled01 said:
Please help. (3x^-2 / 4x^3)^-3
1: bring the x^3 to numerator position: (3x^-5 / 4)^-3

2: multiply inside powers by -3: 3^-3(x^15) / 4^-3

3: bring 3^-3 to denominator, 4^-3 to numerator: 4^3(x^15) / 3^3

If you can't follow that, see your teacher...

EDIT:
> I got 64x^15 / 27 is that right?
YES! Good work :idea:
 

tkhunny

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Good work!

If you SHOW your correct work, I can pat you on the back even harder!
 

puzzled01

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thank you
 
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