1. Solve for x : \[ 0.008^{x-1}=0.0016^{x} \]
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\[ 0.008 = \left(\frac{8}{1000}\right) = \left(\frac{2^3}{10^3}\right) = \left(\frac{1}{125}\right) = 2^{-3} \times 5^{-3} \] \[ 0.0016 = \left(\frac{16}{10000}\right) = \left(\frac{2^4}{10^4}\right) = \left(\frac{1}{625}\right) = 2^{-4} \times 5^{-4} \] Show more…
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