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if (0.125)^3 can be written as 2^a. Find the value of a?

 

Thank you!

If you are able to explain that would be most appreciated!!

 Sep 26, 2019
 #1
avatar+106539 
+1

Note that  ( .125)   =    125/1000  =   [25 * 5] / [ 200 * 5 ]  =  25 / 200   =   1 / 8 

 

So  we have  (1/8)^3  = ( 1/2^3)^3  = 1/2^9

 

1 / 2^9      =    [ remember that   1/ b^n  =  b^(-n)  ]....so..... 

 

1/2^9  =   2^(-9)

 

So  "a"  = -9

 

 

cool cool cool

 Sep 26, 2019
edited by CPhill  Sep 26, 2019
 #2
avatar+256 
+1

oh, duh! thanks! that helps a lot!

 Sep 26, 2019
 #3
avatar+106539 
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OK!!!!

 

 

cool cool cool

CPhill  Sep 26, 2019

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