b) (x^(1/3))3 * (1/x4)

July 2, 2026Mathematics

ScanSolve AI Answer

July 2, 2026

Answer

$x^{-3}$

Step 1: Simplify the term $(x^{\frac{1}{3}})^3$ using the rule $(a^m)^n = a^{m \times n}$ . $(x^{\frac{1}{3}})^3 = x^{\frac{1}{3} \times 3} = x^1 = x$

Step 2: Rewrite the expression with the simplified term. $x \times \frac{1}{x^4}$

Step 3: Rewrite $\frac{1}{x^4}$ using a negative exponent, which is $x^{-4}$ . $x \times x^{-4}$

Step 4: Multiply the terms using the rule $a^m \times a^n = a^{m+n}$ . $x^1 \times x^{-4} = x^{1 + (-4)} = x^{1-4} = x^{-3}$

The simplified expression is: $\boxed{x^{-3}}$ What's next?

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Quick Answer

Simplify the term (x^(1)/(3))^3 using the rule (a^m)^n = a^m × n. (x^(1)/(3))^3 = x^(1)/(3) × 3 = x^1 = x Step 2: Rewrite the expression with the simplified term.

Asked on July 2, 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 July 2, 2026

Step 1: Simplify the term (x^(1)/(3))^3 using the rule (a^m)^n = a^m × n. (x^(1)/(3))^3 = x^(1)/(3) × 3 = x^1 = x Step 2: Rewrite the expression with the simplified term. x × (1)/(x^4) Step 3: Rewrite (1)/(x^4) using a negative exponent, which is x^-4. x × x^-4 Step 4: Multiply the terms using the rule a^m × a^n = a^m+n. x^1 × x^-4 = x^1 + (-4) = x^1-4 = x^-3 The simplified expression is: x^-3 What's next?