Evaluate (2.3*10^6*16*10^(10-2))/(21*10^2)

Math
2.3⋅106⋅16⋅1010-221⋅102
Multiply 106 by 1010-2 by adding the exponents.
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Move 1010-2.
2.3⋅(1010-2⋅106)⋅1621⋅102
Use the power rule aman=am+n to combine exponents.
2.3⋅1010-2+6⋅1621⋅102
Subtract 2 from 10.
2.3⋅108+6⋅1621⋅102
Add 8 and 6.
2.3⋅1014⋅1621⋅102
2.3⋅1014⋅1621⋅102
Multiply using scientific notation in the numerator and denominator.
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Group coefficients together and exponents together to multiply numbers in scientific notation.
(2.3⋅16)(1014)21⋅102
Multiply 2.3 by 16.
36.8⋅101421⋅102
36.8⋅101421⋅102
Divide using scientific notation.
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Group coefficients together and exponents together to divide numbers in scientific notation.
(36.821)(1014102)
Divide 36.8 by 21.
1.7523809‾1014102
Subtract the exponent from the denominator from the exponent of the numerator for the same base
1.7523809‾⋅1014+2⋅-1
Multiply 2 by -1.
1.7523809‾⋅1014-2
Subtract 2 from 14.
1.7523809‾⋅1012
1.7523809‾⋅1012
The result can be shown in multiple forms.
Scientific Notation:
1.7523809‾⋅1012
Expanded Form:
1752380952380.95
Evaluate (2.3*10^6*16*10^(10-2))/(21*10^2)

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