a^2(a^5)(a^3)=a^11

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Solution for a^2(a^5)(a^3)=a^11 equation:


Simplifying
a2(a5)(a3) = a11

Multiply a2 * a5
a7 * a3 = a11

Multiply a7 * a3
a10 = a11

Solving
a10 = a11

Solving for variable 'a'.

Combine like terms: a11 + -1a11 = 0
a10 + -1a11 = 0

Factor out the Greatest Common Factor (GCF), 'a10'.
a10(1 + -1a) = 0

Subproblem 1

Set the factor 'a10' equal to zero and attempt to solve: Simplifying a10 = 0 Solving a10 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a10 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1

Solution

a = {1}

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