# Solve using the Square Root Property square root of a/3-3=-32

a3-3=-32
To remove the radical on the left side of the equation, square both sides of the equation.
a3-32=(-32)2
Simplify each side of the equation.
Multiply the exponents in ((a3-3)12)2.
Apply the power rule and multiply exponents, (am)n=amn.
(a3-3)12⋅2=(-32)2
Cancel the common factor of 2.
Cancel the common factor.
(a3-3)12⋅2=(-32)2
Rewrite the expression.
(a3-3)1=(-32)2
(a3-3)1=(-32)2
(a3-3)1=(-32)2
Simplify.
a3-3=(-32)2
Raise -32 to the power of 2.
a3-3=1024
a3-3=1024
Solve for a.
Move all terms not containing a to the right side of the equation.
Add 3 to both sides of the equation.
a3=1024+3
a3=1027
a3=1027
Multiply both sides of the equation by 3.
3⋅a3=3⋅1027
Simplify both sides of the equation.
Cancel the common factor of 3.
Cancel the common factor.
3⋅a3=3⋅1027
Rewrite the expression.
a=3⋅1027
a=3⋅1027
Multiply 3 by 1027.
a=3081
a=3081
a=3081
Exclude the solutions that do not make a3-3=-32 true.
No solution
Solve using the Square Root Property square root of a/3-3=-32