Simplify (-3)3 and x2 z^-3.

April 9, 2026Mathematics

ScanSolve AI Answer

April 9, 2026

Answer

-27

Here are the solutions for the remaining parts:

c) Simplify $(-3)^3$

Step 1: Calculate the power. $(-3)^3 = (-3) \times (-3) \times (-3)$ $(-3) \times (-3) = 9$ $9 \times (-3) = -27$ The simplified expression is $\boxed{-27}$ .

d) Simplify $x^2 z^{-3}$

Step 1: Convert the term with the negative exponent to a positive exponent using the rule $a^{-n} = \frac{1}{a^n}$ . $z^{-3} = \frac{1}{z^3}$

Step 2: Substitute this back into the expression. $x^2 \times \frac{1}{z^3}$

Step 3: Combine the terms. $\frac{x^2}{z^3}$ The simplified expression is $\boxed{\frac{x^2}{z^3}}$ .

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Quick Answer

c) Simplify (-3)^3 Step 1: Calculate the power. (-3)^3 = (-3) × (-3) × (-3) (-3) × (-3) = 9 9 × (-3) = -27 The simplified expression is -27.

Asked on April 9, 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 9, 2026

Here are the solutions for the remaining parts: c) Simplify (-3)^3 Step 1: Calculate the power. (-3)^3 = (-3) × (-3) × (-3) (-3) × (-3) = 9 9 × (-3) = -27 The simplified expression is -27. d) Simplify x^2 z^-3 Step 1: Convert the term with the negative exponent to a positive exponent using the rule a^-n = (1)/(a^n). z^-3 = (1)/(z^3) Step 2: Substitute this back into the expression. x^2 × (1)/(z^3) Step 3: Combine the terms. (x^2)/(z^3) The simplified expression is (x^2)/(z^3).