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what is 22a to the power of 5 squared divided by 200a squared

 Oct 22, 2014

Best Answer 

 #1
avatar+23246 
+5

[ 22 · a^5 ]² / [ 200a ]²

[ 22 · a^5 ]²   =  22² · (a^5)²  =  484a^10                        When squaring multiplied factors, square each one.

[ 200a ]²  =  200² · a²  =  40000a²

So: [ 22 · a^5 ]² / [ 200a ]²  =  ( 484a^10 ) x ( 40000a² )            When raising an exponent to an exponent,                                                                                                               multiply the exponents.

     =  [ 484 / 40000] x [ a^10 / a² ]                     

     =  (121/10000) x a^8

     =  121a^8 / 10000

This is a very complex problem, do you have any questions about it?

 Oct 22, 2014
 #1
avatar+23246 
+5
Best Answer

[ 22 · a^5 ]² / [ 200a ]²

[ 22 · a^5 ]²   =  22² · (a^5)²  =  484a^10                        When squaring multiplied factors, square each one.

[ 200a ]²  =  200² · a²  =  40000a²

So: [ 22 · a^5 ]² / [ 200a ]²  =  ( 484a^10 ) x ( 40000a² )            When raising an exponent to an exponent,                                                                                                               multiply the exponents.

     =  [ 484 / 40000] x [ a^10 / a² ]                     

     =  (121/10000) x a^8

     =  121a^8 / 10000

This is a very complex problem, do you have any questions about it?

geno3141 Oct 22, 2014

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