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If \(\left(\sqrt[3]{7}\right)^{5x}=14\), what is the value of \(\left(\sqrt[3]{7}\right)^{10x-6}\)?

 Apr 25, 2021
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[7^(1/3)]^(5x)  =  14

 

[ [7^(1/3)]^(5x) ] ^2  = 14^2

 

[ 7^(1/3) ^ (10x)  ]  =  196

 

[ 7^ (1/3)] ^(10x  - 6]  =

 

[ 7^(1/3)]^(10x)

_____________  =

       7^(1/3)^6

 

[ 7^(1/3)]^(10x)                 196

_____________  =          ____  =          4

          7^2                           49

 

 

 

 

 

cool cool cool

 Apr 25, 2021

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