Math  /  Algebra

Question Find the expression with rational exponents that equals 81x3y4z84\sqrt[4]{81 x^{3} y^{4} z^{8}}.

Studdy Solution
We can now write the final simplified expression with rational exponents.
81x3y4z84=3x(34)yz2\sqrt[4]{81 x^{3} y^{4} z^{8}} = 3 x^{\left(\frac{3}{4}\right)} y z^{2}
The correct answer is 3x(34)yz23 x^{\left(\frac{3}{4}\right)} y z^{2}.

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