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

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


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

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

Multiply 150 * 1.5
225 * 1.5 * 1.5 * 1.5 * 1.5 = a

Multiply 225 * 1.5
337.5 * 1.5 * 1.5 * 1.5 = a

Multiply 337.5 * 1.5
506.25 * 1.5 * 1.5 = a

Multiply 506.25 * 1.5
759.375 * 1.5 = a

Multiply 759.375 * 1.5
1139.0625 = a

Solving
1139.0625 = 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.
1139.0625 + -1a = a + -1a

Combine like terms: a + -1a = 0
1139.0625 + -1a = 0

Add '-1139.0625' to each side of the equation.
1139.0625 + -1139.0625 + -1a = 0 + -1139.0625

Combine like terms: 1139.0625 + -1139.0625 = 0.0000
0.0000 + -1a = 0 + -1139.0625
-1a = 0 + -1139.0625

Combine like terms: 0 + -1139.0625 = -1139.0625
-1a = -1139.0625

Divide each side by '-1'.
a = 1139.0625

Simplifying
a = 1139.0625

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