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

July 2, 2026Mathematics

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Answer

x^{-3}

4 steps

Simplify the term $(x^{\frac{1}{3}})^3$ using the rule $(a^m)^n = a^{m \times n}$ .
$(x^{\frac{1}{3}})^3 = x^{\frac{1}{3} \times 3} = x^1 = x$
Rewrite the expression with the simplified term.
$x \times \frac{1}{x^4}$
Rewrite $\frac{1}{x^4}$ using a negative exponent, which is $x^{-4}$ .
$x \times x^{-4}$
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:
$x^{-3}$

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