Carcass wrote:
First of all the exponent is 8x-8 and not 8x-10
Secondly, I went down without some obvious step but indeed yes.
It is a simplification/manipulation.
regards
Got that,
Just trying out to simplify
\(2^{8x} = 640000\)
or \(2^{8x} = 2^6 * 2^4 * 5^4 = 2^{10} * 5^4\) ( 640000 = we know, 2^6 = 64 and now there are 4 zeros after 64, that means it will compiled with = 2^4 * 5^4 , since 2*5 =10)
Now taking square root on both sides
\(2^{4x} = 2^5 * 5^2\)
Dividing by \(2^4\)on both sides
\(\frac{2^{4x}}{{2^4}} = \frac{{2^5*5^2}}{{2^4}}\)
\(\frac{2^{4x}}{{2^4}}= 2 * 5^2\)
Taking square root again,
\(\frac{2^{2x}}{{2^2}} = 5 \sqrt{2}\)
or \(2^{2x - 2} = 5 \sqrt{2}\)
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