a^3n=64

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Solution for a^3n=64 equation:


Simplifying
a3n = 64

Solving
a3n = 64

Solving for variable 'a'.

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

Divide each side by 'n'.
a3 = 64n-1

Simplifying
a3 = 64n-1

Combine like terms: 64n-1 + -64n-1 = 0
a3 + -64n-1 = 0

Factor out the Greatest Common Factor (GCF), 'n-1'.
n-1(a3n + -64) = 0

Subproblem 1

Set the factor 'n-1' equal to zero and attempt to solve: Simplifying n-1 = 0 Solving n-1 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1n-1' to each side of the equation. n-1 + -1n-1 = 0 + -1n-1 Remove the zero: 0 = -1n-1 Simplifying 0 = -1n-1 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 '(a3n + -64)' equal to zero and attempt to solve: Simplifying a3n + -64 = 0 Reorder the terms: -64 + a3n = 0 Solving -64 + a3n = 0 Move all terms containing a to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + a3n = 0 + 64 Combine like terms: -64 + 64 = 0 0 + a3n = 0 + 64 a3n = 0 + 64 Combine like terms: 0 + 64 = 64 a3n = 64 Divide each side by 'n'. a3 = 64n-1 Simplifying a3 = 64n-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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