# Solve for V V=40* square root of 210/110 V=40⋅210110
Cancel the common factor of 210 and 110.
Factor 10 out of 210.
V=40⋅10(21)110
Cancel the common factors.
Factor 10 out of 110.
V=40⋅10⋅2110⋅11
Cancel the common factor.
V=40⋅10⋅2110⋅11
Rewrite the expression.
V=40⋅2111
V=40⋅2111
V=40⋅2111
Rewrite 2111 as 2111.
V=40⋅2111
Multiply 2111 by 1111.
V=40⋅(2111⋅1111)
Combine and simplify the denominator.
Multiply 2111 and 1111.
V=40⋅21111111
Raise 11 to the power of 1.
V=40⋅211111111
Raise 11 to the power of 1.
V=40⋅2111111111
Use the power rule aman=am+n to combine exponents.
V=40⋅2111111+1
V=40⋅2111112
Rewrite 112 as 11.
Use axn=axn to rewrite 11 as 1112.
V=40⋅2111(1112)2
Apply the power rule and multiply exponents, (am)n=amn.
V=40⋅21111112⋅2
Combine 12 and 2.
V=40⋅21111122
Cancel the common factor of 2.
Cancel the common factor.
V=40⋅21111122
Divide 1 by 1.
V=40⋅2111111
V=40⋅2111111
Evaluate the exponent.
V=40⋅211111
V=40⋅211111
V=40⋅211111
Simplify the numerator.
Combine using the product rule for radicals.
V=40⋅21⋅1111
Multiply 21 by 11.
V=40⋅23111
V=4023111
The result can be shown in multiple forms.
Exact Form:
V=4023111
Decimal Form:
V=55.26794237…
Solve for V V=40* square root of 210/110

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