Evaluate ((2(6.67*10^-11)(8.68*10^25))/(25.559*10^6))^(1/2)

(2(6.67×10-11)(8.68×1025)(25.559×106))12
Multiply using scientific notation in the numerator and denominator.
Group coefficients together and exponents together to multiply numbers in scientific notation.
((2⋅6.67)(10-11)(8.68⋅1025)25.559⋅106)12
Multiply 2 by 6.67.
(13.34⋅10-11(8.68⋅1025)25.559⋅106)12
Group coefficients together and exponents together to multiply numbers in scientific notation.
((13.34⋅8.68)(10-11⋅1025)25.559⋅106)12
Multiply 13.34 by 8.68.
(115.7912(10-11⋅1025)25.559⋅106)12
Use the power rule aman=am+n to combine exponents.
(115.7912⋅10-11+2525.559⋅106)12
(115.7912⋅101425.559⋅106)12
(115.7912⋅101425.559⋅106)12
Divide using scientific notation.
Group coefficients together and exponents together to divide numbers in scientific notation.
((115.791225.559)(1014106))12
Divide 115.7912 by 25.559.
(4.530349381014106)12
Subtract the exponent from the denominator from the exponent of the numerator for the same base
(4.53034938⋅1014+6⋅-1)12
Multiply 6 by -1.
(4.53034938⋅1014-6)12
Subtract 6 from 14.
(4.53034938⋅108)12
(4.53034938⋅108)12
Simplify the expression.
Apply the product rule to 4.53034938⋅108.
4.5303493812⋅(108)12
Rewrite 4.53034938 as 2.128461742.
(2.128461742)12⋅(108)12
Apply the power rule and multiply exponents, (am)n=amn.
2.128461742(12)⋅(108)12
2.128461742(12)⋅(108)12
Cancel the common factor of 2.
Cancel the common factor.
2.128461742(12)⋅(108)12
Rewrite the expression.
2.128461741⋅(108)12
2.128461741⋅(108)12
Evaluate the exponent.
2.12846174⋅(108)12
Multiply the exponents in (108)12.
Apply the power rule and multiply exponents, (am)n=amn.
2.12846174⋅108(12)
Cancel the common factor of 2.
Factor 2 out of 8.
2.12846174⋅102(4)12
Cancel the common factor.
2.12846174⋅102⋅412
Rewrite the expression.
2.12846174⋅104
2.12846174⋅104
2.12846174⋅104
The result can be shown in multiple forms.
Scientific Notation:
2.12846174⋅104
Expanded Form:
21284.61742125
Evaluate ((2(6.67*10^-11)(8.68*10^25))/(25.559*10^6))^(1/2)

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