507=3a⋅a

Rewrite the equation as 3a⋅a=507.

3a⋅a=507

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

Add 1 and 1.

3a2=507

3a2=507

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

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