Simplify the x terms using the rule (a^m)/(a^n) = a^m-n.

April 20, 2026Mathematics

ScanSolve AI Answer

April 20, 2026

Answer

$x^7 y^9 z^2$

Step 1: Simplify the $x$ terms using the rule $\frac{a^m}{a^n} = a^{m-n}$ . $\frac{x^6}{x^{-1}} = x^{6 - (-1)} = x^{6+1} = x^7$ Step 2: Simplify the $y$ terms. The $y$ term is only in the numerator: $y^9$ Step 3: Simplify the $z$ terms using the rule $\frac{a^m}{a^n} = a^{m-n}$ . $\frac{z^{-3}}{z^{-5}} = z^{-3 - (-5)} = z^{-3+5} = z^2$ Step 4: Combine the simplified terms. $x^7 y^9 z^2$ The simplified expression is: $x^7 y^9 z^2$ What's next?

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Simplify the x terms using the rule (a^m)/(a^n) = a^m-n. (x^6)/(x^-1) = x^6 - (-1) = x^6+1 = x^7 Step 2: Simplify the y terms.

Asked on April 20, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 20, 2026

Step 1: Simplify the x terms using the rule (a^m)/(a^n) = a^m-n. (x^6)/(x^-1) = x^6 - (-1) = x^6+1 = x^7 Step 2: Simplify the y terms. The y term is only in the numerator: y^9 Step 3: Simplify the z terms using the rule (a^m)/(a^n) = a^m-n. z^-3z^-5 = z^-3 - (-5) = z^-3+5 = z^2 Step 4: Combine the simplified terms. x^7 y^9 z^2 The simplified expression is: x^7 y^9 z^2 What's next?