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Find a. (a³ + a³ + a³) / a² = 24

Mathematics

ScanSolve AI Answer

Answer

8

Step-by-step solution

4 steps

To find the value of aa in the given equation:

  1. Simplify the numerator by combining like terms.

    a3+a3+a3=3a3a^3 + a^3 + a^3 = 3a^3

  2. Substitute the simplified numerator back into the equation.

    3a3a2=24\frac{3a^3}{a^2} = 24

  3. Simplify the fraction using the exponent rule xmxn=xm−n\frac{x^m}{x^n} = x^{m-n}.

    3a3−2=243a^{3-2} = 24 3a1=243a^1 = 24 3a=243a = 24

  4. Divide both sides by 3 to solve for aa.

    a=243a = \frac{24}{3} a=8a = 8

    The value of aa is:

    8\boxed{8}

    3 ተሰርተዋል፣ ዛሬ 2 ቀርተዋል። እየገፋህ ነው።

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