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Apply the power rule (ab)ⁿ = aⁿ bⁿ and (a^m)ⁿ = a^mn to the numerator.

May 19, 2026Mathematics

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Answer

y^2

3 steps

Okay, Ona💘💘💋💞, let's simplify this expression.

Apply the power rule $(ab)^n = a^n b^n$ and $(a^m)^n = a^{mn}$ to the numerator.
$\frac{(xy^2)^3}{x^3 y^4} = \frac{x^3 (y^2)^3}{x^3 y^4}$ $\frac{x^3 y^{2 \times 3}}{x^3 y^4} = \frac{x^3 y^6}{x^3 y^4}$
Use the quotient rule for exponents, $\frac{a^m}{a^n} = a^{m-n}$ , for both $x$ and $y$ terms.
$x^{3-3} y^{6-4}$ $x^0 y^2$
Simplify, remembering that any non-zero number raised to the power of 0 is 1.
$1 \cdot y^2$ $y^2$

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