100(1.5)(1.5)(1.5)(1.5)=a

Solution for 100(1.5)(1.5)(1.5)(1.5)=a equation:

Simplifying
100(1.5)(1.5)(1.5)(1.5) = a

Multiply 100 * 1.5
150 * 1.5 * 1.5 * 1.5 = a

Multiply 150 * 1.5
225 * 1.5 * 1.5 = a

Multiply 225 * 1.5
337.5 * 1.5 = a

Multiply 337.5 * 1.5
506.25 = a

Solving
506.25 = a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1a' to each side of the equation.
506.25 + -1a = a + -1a

Combine like terms: a + -1a = 0
506.25 + -1a = 0

Add '-506.25' to each side of the equation.
506.25 + -506.25 + -1a = 0 + -506.25

Combine like terms: 506.25 + -506.25 = 0.00
0.00 + -1a = 0 + -506.25
-1a = 0 + -506.25

Combine like terms: 0 + -506.25 = -506.25
-1a = -506.25

Divide each side by '-1'.
a = 506.25

Simplifying
a = 506.25