Solve for x
x=250
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Linear Equation
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4 \times { 10 }^{ -15 } =1.6 \times { 10 }^{ 2-19 } \times x
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4\times \frac{1}{1000000000000000}=1.6\times 10^{2-19}x
Calculate 10 to the power of -15 and get \frac{1}{1000000000000000}.
\frac{1}{250000000000000}=1.6\times 10^{2-19}x
Multiply 4 and \frac{1}{1000000000000000} to get \frac{1}{250000000000000}.
\frac{1}{250000000000000}=1.6\times 10^{-17}x
Subtract 19 from 2 to get -17.
\frac{1}{250000000000000}=1.6\times \frac{1}{100000000000000000}x
Calculate 10 to the power of -17 and get \frac{1}{100000000000000000}.
\frac{1}{250000000000000}=\frac{1}{62500000000000000}x
Multiply 1.6 and \frac{1}{100000000000000000} to get \frac{1}{62500000000000000}.
\frac{1}{62500000000000000}x=\frac{1}{250000000000000}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{250000000000000}\times 62500000000000000
Multiply both sides by 62500000000000000, the reciprocal of \frac{1}{62500000000000000}.
x=250
Multiply \frac{1}{250000000000000} and 62500000000000000 to get 250.
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