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