# Evaluate ((13.8*10^-10)(2*10^7))/(4.6*10^4)

(13.8⋅10-10)(2⋅107)4.6⋅104
Multiply using scientific notation in the numerator and denominator.
Group coefficients together and exponents together to multiply numbers in scientific notation.
(13.8⋅2)(10-10⋅107)4.6⋅104
Multiply 13.8 by 2.
27.6(10-10⋅107)4.6⋅104
Use the power rule aman=am+n to combine exponents.
27.6⋅10-10+74.6⋅104
27.6⋅10-34.6⋅104
27.6⋅10-34.6⋅104
Divide using scientific notation.
Group coefficients together and exponents together to divide numbers in scientific notation.
(27.64.6)(10-3104)
Divide 27.6 by 4.6.
610-3104
Subtract the exponent from the denominator from the exponent of the numerator for the same base
6⋅10-3+4⋅-1
Multiply 4 by -1.
6⋅10-3-4
Subtract 4 from -3.
6⋅10-7
6⋅10-7
Evaluate ((13.8*10^-10)(2*10^7))/(4.6*10^4)

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