# Evaluate 10.2/( square root of 36.0+10.2^2)*(440)

10.236+10.22⋅(440)
Simplify the denominator.
Raise 10.2 to the power of 2.
10.236+104.04⋅440
10.2140.04⋅440
10.2140.04⋅440
Multiply 10.2140.04 by 140.04140.04.
10.2140.04⋅140.04140.04⋅440
Combine and simplify the denominator.
Multiply 10.2140.04 and 140.04140.04.
10.2140.04140.04140.04⋅440
Raise 140.04 to the power of 1.
10.2140.04140.041140.04⋅440
Raise 140.04 to the power of 1.
10.2140.04140.041140.041⋅440
Use the power rule aman=am+n to combine exponents.
10.2140.04140.041+1⋅440
10.2140.04140.042⋅440
Rewrite 140.042 as 140.04.
Use axn=axn to rewrite 140.04 as 140.0412.
10.2140.04(140.0412)2⋅440
Apply the power rule and multiply exponents, (am)n=amn.
10.2140.04140.0412⋅2⋅440
Combine 12 and 2.
10.2140.04140.0422⋅440
Cancel the common factor of 2.
Cancel the common factor.
10.2140.04140.0422⋅440
Divide 1 by 1.
10.2140.04140.041⋅440
10.2140.04140.041⋅440
Evaluate the exponent.
10.2140.04140.04⋅440
10.2140.04140.04⋅440
10.2140.04140.04⋅440
Multiply 10.2 by 140.04.
120.70526749140.04⋅440
Cancel the common factor of 440.
Factor 440 out of 140.04.
120.70526749440(0.31827‾)⋅440
Cancel the common factor.
120.70526749440⋅0.31827‾⋅440
Rewrite the expression.
120.705267490.31827‾
120.705267490.31827‾
Divide 120.70526749 by 0.31827‾.
379.25105466
Evaluate 10.2/( square root of 36.0+10.2^2)*(440)

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