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Simplifying (8ab)((4a2)(b3)) = 1 Remove parenthesis around (8ab) 8ab((4a2)(b3)) = 1 Remove parenthesis around (4a2) 8ab(4a2(b3)) = 1 Multiply a2 * b3 8ab(4a2b3) = 1 Remove parenthesis around (4a2b3) 8ab * 4a2b3 = 1 Reorder the terms for easier multiplication: 8 * 4ab * a2b3 = 1 Multiply 8 * 4 32ab * a2b3 = 1 Multiply ab * a2b3 32a3b4 = 1 Solving 32a3b4 = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '32b4'. a3 = 0.03125b-4 Simplifying a3 = 0.03125b-4 Combine like terms: 0.03125b-4 + -0.03125b-4 = 0.00000 a3 + -0.03125b-4 = 0.00000 Factor out the Greatest Common Factor (GCF), 'b-4'. b-4(a3b4 + -0.03125) = 0.00000Subproblem 1
Set the factor 'b-4' equal to zero and attempt to solve: Simplifying b-4 = 0 Solving b-4 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-4' to each side of the equation. b-4 + -1b-4 = 0 + -1b-4 Remove the zero: 0 = -1b-4 Simplifying 0 = -1b-4 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 '(a3b4 + -0.03125)' equal to zero and attempt to solve: Simplifying a3b4 + -0.03125 = 0 Reorder the terms: -0.03125 + a3b4 = 0 Solving -0.03125 + a3b4 = 0 Move all terms containing a to the left, all other terms to the right. Add '0.03125' to each side of the equation. -0.03125 + 0.03125 + a3b4 = 0 + 0.03125 Combine like terms: -0.03125 + 0.03125 = 0.00000 0.00000 + a3b4 = 0 + 0.03125 a3b4 = 0 + 0.03125 Combine like terms: 0 + 0.03125 = 0.03125 a3b4 = 0.03125 Divide each side by 'b4'. a3 = 0.03125b-4 Simplifying a3 = 0.03125b-4 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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