# Solve for a 507=3a*a

507=3a⋅a
Rewrite the equation as 3a⋅a=507.
3a⋅a=507
Simplify.
Raise a to the power of 1.
3(a1a)=507
Raise a to the power of 1.
3(a1a1)=507
Use the power rule aman=am+n to combine exponents.
3a1+1=507
3a2=507
3a2=507
Divide each term by 3 and simplify.
Divide each term in 3a2=507 by 3.
3a23=5073
Cancel the common factor of 3.
Cancel the common factor.
3a23=5073
Divide a2 by 1.
a2=5073
a2=5073
Divide 507 by 3.
a2=169
a2=169
Take the square root of both sides of the equation to eliminate the exponent on the left side.
a=±169
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 169 as 132.
a=±132
Pull terms out from under the radical, assuming positive real numbers.
a=±13
a=±13
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
a=13
Next, use the negative value of the ± to find the second solution.
a=-13
The complete solution is the result of both the positive and negative portions of the solution.
a=13,-13
a=13,-13
a=13,-13
Solve for a 507=3a*a

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