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How do I solve this? z^6x^3/z^4x^5 It is asking to simplify

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How do I solve this? z^6x^3/z^4x^5 It is asking to simplify

Guest Jan 17, 2015

#5
+94105
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What Tetration said is completely correct.  YOU MUST USE BRACKETS.

Melody  Jan 17, 2015
#1
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$$z^{6x^{3}} / z^{4x^{5}}$$

In power towers like these, always solve from the "deepest level" first, in the notation, the highest level.

$$z^{216x^{3}} / z^{1024x^{5}}$$

Remember the formula:

ab / ac = ab - c

We get:

$$z^{216x^{3}-1024x^{5}} = z^{x^{3}(216-1024x^{2})}= z^{8x^{3}(27-128x^{2})}$$

Did you want it expressed in some other way?

Tetration  Jan 17, 2015
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$$\\\dfrac{z^6x^3}{z^4x^5}\\\\\\ =\dfrac{z^{6-4}}{x^{5-3}}\\\\\\ =\dfrac{z^{2}}{x^{2}}\\\\\\$$

Melody  Jan 17, 2015
#3
+808
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Yeah, the more experienced math helper and friend Melody, and me, interpreted the question differently.

At any rate, please include paranthesis and/or multiplication symbols to make the question unambiguous. :)

Tetration  Jan 17, 2015
#4
+94105
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Tetration and I have interpreted your question differently.  To tell you the truth either of us interpreted it as it tecnically should have been interpreted.

Technically this is correct.

z^6x^3/z^4x^5

$$\\z^6\times \dfrac{x^3}{z^4}\times x^5\\\\\\ =\dfrac{z^6*x^3*x^5}{z^4}\\\\\\ =\dfrac{z^2*x^8}{1}\\\\\\ =z^2*x^8\\\\ =z^2x^8$$

Melody  Jan 17, 2015
#5
+94105
+5

What Tetration said is completely correct.  YOU MUST USE BRACKETS.

Melody  Jan 17, 2015
#6
+11852
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im so glad other people are there here

becoz........

i thought to answer this then decided to answer without using my brain then after i thought how to do it...i realized i cant do it!

rosala  Jan 17, 2015