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

Guest Jan 17, 2015

Best Answer 

 #5
avatar+91513 
+5

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

Otherwise we do not know what your intended answer is!!

Melody  Jan 17, 2015
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6+0 Answers

 #1
avatar+808 
+5

$$z^{6x^{3}} / z^{4x^{5}}$$

 

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
 #2
avatar+91513 
+5

 

$$\\\dfrac{z^6x^3}{z^4x^5}\\\\\\
=\dfrac{z^{6-4}}{x^{5-3}}\\\\\\
=\dfrac{z^{2}}{x^{2}}\\\\\\$$

Melody  Jan 17, 2015
 #3
avatar+808 
+5

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
avatar+91513 
+5

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
avatar+91513 
+5
Best Answer

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

Otherwise we do not know what your intended answer is!!

Melody  Jan 17, 2015
 #6
avatar+11762 
0

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

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