# Multiply (4.0)(10^4)(5.021)(10^-3)(7.34993)(10^2)

(4)(104)(5.021)(10-3)(7.34993)(102)
Multiply 104 by 10-3 by adding the exponents.
Move 10-3.
4(10-3⋅104)⋅5.021⋅7.34993⋅102
Use the power rule aman=am+n to combine exponents.
4⋅10-3+4⋅5.021⋅7.34993⋅102
4⋅101⋅5.021⋅7.34993⋅102
4⋅101⋅5.021⋅7.34993⋅102
Simplify 4⋅101⋅5.021⋅7.34993⋅102.
4⋅10⋅5.021⋅7.34993⋅102
Multiply 10 by 102 by adding the exponents.
Move 102.
4⋅(102⋅10)⋅5.021⋅7.34993
Multiply 102 by 10.
Raise 10 to the power of 1.
4⋅(102⋅101)⋅5.021⋅7.34993
Use the power rule aman=am+n to combine exponents.
4⋅102+1⋅5.021⋅7.34993
4⋅102+1⋅5.021⋅7.34993
4⋅103⋅5.021⋅7.34993
4⋅103⋅5.021⋅7.34993
Group coefficients together and exponents together to multiply numbers in scientific notation.
(4⋅5.021)(103)⋅7.34993
Multiply 4 by 5.021.
20.084⋅103⋅7.34993
Group coefficients together and exponents together to multiply numbers in scientific notation.
(20.084⋅7.34993)(103)
Multiply 20.084 by 7.34993.
147.61599412⋅103
Write 147.61599412⋅103 in proper scientific notation.
1.47615994⋅105
The result can be shown in multiple forms.
Scientific Notation:
1.47615994⋅105
Expanded Form:
147615.99412
Multiply (4.0)(10^4)(5.021)(10^-3)(7.34993)(10^2)

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