Solve using the Square Root Property 224^2 = square root of 2(32)g

2242=2(32)g
Rewrite the equation as 2(32)g=2242.
2(32)g=2242
To remove the radical on the left side of the equation, square both sides of the equation.
2(32)g2=(2242)2
Simplify each side of the equation.
Multiply the exponents in ((2(32)g)12)2.
Apply the power rule and multiply exponents, (am)n=amn.
(2(32)g)12⋅2=(2242)2
Cancel the common factor of 2.
Cancel the common factor.
(2(32)g)12⋅2=(2242)2
Rewrite the expression.
(2(32)g)1=(2242)2
(2(32)g)1=(2242)2
(2(32)g)1=(2242)2
Multiply 2 by 32.
(64g)1=(2242)2
Simplify.
64g=(2242)2
Multiply the exponents in (2242)2.
Apply the power rule and multiply exponents, (am)n=amn.
64g=2242⋅2
Multiply 2 by 2.
64g=2244
64g=2244
Raise 224 to the power of 4.
64g=2517630976
64g=2517630976
Divide each term by 64 and simplify.
Divide each term in 64g=2517630976 by 64.
64g64=251763097664
Cancel the common factor of 64.
Cancel the common factor.
64g64=251763097664
Divide g by 1.
g=251763097664
g=251763097664
Divide 2517630976 by 64.
g=39337984
g=39337984
Solve using the Square Root Property 224^2 = square root of 2(32)g