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4\times 0.04=x\times 0.4^{2}
Calculate 0.2 to the power of 2 and get 0.04.
0.16=x\times 0.4^{2}
Multiply 4 and 0.04 to get 0.16.
0.16=x\times 0.16
Calculate 0.4 to the power of 2 and get 0.16.
x\times 0.16=0.16
Swap sides so that all variable terms are on the left hand side.
x=\frac{0.16}{0.16}
Divide both sides by 0.16.
x=1
Divide 0.16 by 0.16 to get 1.