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25x\times 0.5^{1}=1
Calculate 5 to the power of 2 and get 25.
25x\times 0.5=1
Calculate 0.5 to the power of 1 and get 0.5.
12.5x=1
Multiply 25 and 0.5 to get 12.5.
x=\frac{1}{12.5}
Divide both sides by 12.5.
x=\frac{10}{125}
Expand \frac{1}{12.5} by multiplying both numerator and the denominator by 10.
x=\frac{2}{25}
Reduce the fraction \frac{10}{125} to lowest terms by extracting and canceling out 5.