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evaluate (3/4)-3 ???

 

can you also show workings out please. i know you have to make it 1/(3/4) to the power of 3, i just dont know how to go from here..?

 Sep 23, 2015
edited by Guest  Sep 23, 2015

Best Answer 

 #2
avatar+130516 
+5

Remember that    a-n = 1 / an    ..... so we have ......

 

 

(3 / 4)-3   =  1 / (3 / 4)3   =   1 / ( 27 / 64)   =  [1 / 1] / [ 27 / 64]  =

[1 / 1 ] * [ 64 /  27 ]  =

64 / 27 

 

Notice another shortcut to our answer, here

 

(a / b)-n =  (b /a)n    ......so.....

 

(3 / 4) -3    =  (4 /3)3 =  64 / 27

 

 

cool cool cool

 Sep 23, 2015
edited by CPhill  Sep 23, 2015
edited by CPhill  Sep 23, 2015
 #1
avatar
+7

evaluate (3/4)^-3 ???=64/27=2 10/27

 Sep 23, 2015
 #2
avatar+130516 
+5
Best Answer

Remember that    a-n = 1 / an    ..... so we have ......

 

 

(3 / 4)-3   =  1 / (3 / 4)3   =   1 / ( 27 / 64)   =  [1 / 1] / [ 27 / 64]  =

[1 / 1 ] * [ 64 /  27 ]  =

64 / 27 

 

Notice another shortcut to our answer, here

 

(a / b)-n =  (b /a)n    ......so.....

 

(3 / 4) -3    =  (4 /3)3 =  64 / 27

 

 

cool cool cool

CPhill Sep 23, 2015
edited by CPhill  Sep 23, 2015
edited by CPhill  Sep 23, 2015

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