(1/64)^2k=8^-3k

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Solution for (1/64)^2k=8^-3k equation:



(1/64)^2k=8^-3k
We move all terms to the left:
(1/64)^2k-(8^-3k)=0
Domain of the equation: 64)^2k!=0
k!=0/1
k!=0
k∈R
We add all the numbers together, and all the variables
(+1/64)^2k-(8^-3k)=0
We get rid of parentheses
(+1/64)^2k+3k-8^=0
We multiply all the terms by the denominator
(+1+3k*64)^2k-8^*64)^2k=0
We add all the numbers together, and all the variables
(3k*64+1)^2k-8^*64)^2k=0
Wy multiply elements
-512k^2+(3k*64+1)^2k=0

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