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Hi! How do you simplify (4x^6y^5)^2? Im doing an online summer course in math

 Jul 27, 2014

Best Answer 

 #1
avatar+95360 
+8

$$(4x^6y^5)^2$$

There are rules for this but it is probably better if you just understand so I will try to explain.

$$(4x^6y^5)^2\\\\
=4x^6y^5 \times 4x^6y^5\\\\
=4\times x^6 \times y^5\times 4\times x^6 \times y^5\\\\
=4\times 4\times x^6 \times x^6\times y^5\times y^5 \\\\
=16x^{12} y^{10} \\\\
\mbox{Now for the short cut method}\\
(4 x^6y^5)^2 = 4^2x^{6*2}y^{5*2} = 16x^{12}y^{10}$$

 

If you do not understand then please make another post on THIS thread.  Thank you.

 Jul 27, 2014
 #1
avatar+95360 
+8
Best Answer

$$(4x^6y^5)^2$$

There are rules for this but it is probably better if you just understand so I will try to explain.

$$(4x^6y^5)^2\\\\
=4x^6y^5 \times 4x^6y^5\\\\
=4\times x^6 \times y^5\times 4\times x^6 \times y^5\\\\
=4\times 4\times x^6 \times x^6\times y^5\times y^5 \\\\
=16x^{12} y^{10} \\\\
\mbox{Now for the short cut method}\\
(4 x^6y^5)^2 = 4^2x^{6*2}y^{5*2} = 16x^{12}y^{10}$$

 

If you do not understand then please make another post on THIS thread.  Thank you.

Melody Jul 27, 2014
 #2
avatar+10 
0

Thanks a lot! I will take a look :)

 

Edit: I understand perfectly now!

 Jul 27, 2014
 #3
avatar+752 
0

This is a very different question.

It is:

(((4x-)^6y)^5)^2)

=((4x)^6y)^10

=(4x)^60y

This is the answer for ur question

 Jul 27, 2014
 #4
avatar+95360 
0

(((4x-)^6y)^5)^2)

Puttin a minus sign there does not make sense Sasini.  

 Jul 27, 2014

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