Evaluate (2*2.2*10^12*1.5*10^12)/(2.2*10^12-1.5*10^12)

Math
2⋅2.2⋅1012⋅1.5⋅10122.2⋅1012-1.5⋅1012
Multiply 1012 by 1012 by adding the exponents.
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Move 1012.
2⋅2.2⋅(1012⋅1012)⋅1.52.2⋅1012-1.5⋅1012
Use the power rule aman=am+n to combine exponents.
2⋅2.2⋅1012+12⋅1.52.2⋅1012-1.5⋅1012
Add 12 and 12.
2⋅2.2⋅1024⋅1.52.2⋅1012-1.5⋅1012
2⋅2.2⋅1024⋅1.52.2⋅1012-1.5⋅1012
Reduce the expression by cancelling the common factors.
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Cancel the common factor of 2 and 2.2⋅1012-1.5⋅1012.
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Factor 2 out of 2⋅2.2⋅1024⋅1.5.
2(2.2⋅1024⋅1.5)2.2⋅1012-1.5⋅1012
Cancel the common factors.
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Factor 2 out of 2.2⋅1012.
2(2.2⋅1024⋅1.5)2(1.1⋅1012)-1.5⋅1012
Factor 2 out of -1.5⋅1012.
2(2.2⋅1024⋅1.5)2(1.1⋅1012)+2(-0.75⋅1012)
Factor 2 out of 2(1.1⋅1012)+2(-0.75⋅1012).
2(2.2⋅1024⋅1.5)2(1.1⋅1012-0.75⋅1012)
Cancel the common factor.
2(2.2⋅1024⋅1.5)2(1.1⋅1012-0.75⋅1012)
Rewrite the expression.
2.2⋅1024⋅1.51.1⋅1012-0.75⋅1012
2.2⋅1024⋅1.51.1⋅1012-0.75⋅1012
2.2⋅1024⋅1.51.1⋅1012-0.75⋅1012
Multiply 1.5 by 2.2.
3.3⋅10241.1⋅1012-0.75⋅1012
3.3⋅10241.1⋅1012-0.75⋅1012
Simplify the denominator.
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Write -0.75⋅1012 in proper scientific notation.
3.3⋅10241.1⋅1012-7.5⋅1011
Factor 1011 out of 1.1⋅1012.
3.3⋅10241011(1.1⋅10)-7.5⋅1011
Factor 1011 out of -7.5⋅1011.
3.3⋅10241011(1.1⋅10)+1011⋅-7.5
Factor 1011 out of 1011(1.1⋅10)+1011⋅-7.5.
3.3⋅10241011(1.1⋅10-7.5)
Reorder 1011 and 1.1⋅10-7.5.
3.3⋅1024(1.1⋅10-7.5)⋅1011
Multiply 1.1 by 10.
3.3⋅1024(11-7.5)⋅1011
Subtract 7.5 from 11.
3.3⋅10243.5⋅1011
Raise 10 to the power of 11.
3.3⋅10243.5⋅100000000000
3.3⋅10243.5⋅100000000000
Multiply 3.5 by 100000000000.
3.3⋅1024350000000000
Divide using scientific notation.
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Group coefficients together and exponents together to divide numbers in scientific notation.
(3.3350000000000)(10241)
Divide 3.3 by 350000000000.
010241
Divide 1024 by 1.
0⋅1024
0⋅1024
Write 0⋅1024 in proper scientific notation.
9.428571‾⋅1012
The result can be shown in multiple forms.
Scientific Notation:
9.428571‾⋅1012
Expanded Form:
9428571428571.43
Evaluate (2*2.2*10^12*1.5*10^12)/(2.2*10^12-1.5*10^12)

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