Solve for y 10=1.6*10^-8*y/1.9625

Math
10=1.6⋅10-8⋅y1.9625
Rewrite the equation as 1.6⋅10-8⋅y1.9625=10.
1.6⋅10-8⋅y1.9625=10
Simplify.
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Combine 1.6 and y1.9625.
10-8⋅1.6y1.9625=10
Combine 10-8 and 1.6y1.9625.
10-8(1.6y)1.9625=10
10-8(1.6y)1.9625=10
Divide each term by 1.6⋅10-8 and simplify.
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Divide each term in 10-8(1.6y)1.9625=10 by 1.6⋅10-8.
10-8(1.6y)1.96251.6⋅10-8=101.6⋅10-8
Cancel the common factor of 1.6⋅10-8.
0.50955414y=101.6⋅10-8
Divide using scientific notation.
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Group coefficients together and exponents together to divide numbers in scientific notation.
0.50955414y=(101.6)(110-8)
Divide 10 by 1.6.
0.50955414y=6.25110-8
Move 10-8 to the numerator using the negative exponent rule 1b-n=bn.
0.50955414y=6.25⋅108
0.50955414y=6.25⋅108
0.50955414y=6.25⋅108
Divide each term by 0.50955414 and simplify.
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Divide each term in 0.50955414y=6.25⋅108 by 0.50955414.
0.50955414y0.50955414=6.25⋅1080.50955414
Cancel the common factor of 0.50955414.
y=6.25⋅1080.50955414
Simplify 6.25⋅1080.50955414.
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Divide using scientific notation.
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Group coefficients together and exponents together to divide numbers in scientific notation.
y=(6.250.50955414)(1081)
Divide 6.25 by 0.50955414.
y=12.2656249‾1081
Divide 108 by 1.
y=12.2656249‾⋅108
y=12.2656249‾⋅108
Write 12.2656249‾⋅108 in proper scientific notation.
y=1.2265625⋅109
y=1.2265625⋅109
y=1.2265625⋅109
The result can be shown in multiple forms.
Scientific Notation:
y=1.2265625⋅109
Expanded Form:
y=1226562500
Solve for y 10=1.6*10^-8*y/1.9625

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