Math  /  Algebra

QuestionWhich of the following is equal to [(x2y3)2(x6y3z)2]3\left[\frac{\left(x^{2} y^{3}\right)^{-2}}{\left(x^{6} y^{3} z\right)^{2}}\right]^{3} ? (x2y3)6(x6y3z)6\frac{\left(x^{2} y^{3}\right)^{-6}}{\left(x^{6} y^{3} z\right)^{6}} 1x8y36z6\frac{1}{x^{8} y^{36} z^{6}} (x2y3)(x6y3z)5\frac{\left(x^{2} y^{3}\right)}{\left(x^{6} y^{3} z\right)^{5}} x12y18x^{-12} y^{-18}

Studdy Solution
Compare the result with the given options:
The simplified expression is 1x48y36z6 \frac{1}{x^{48} y^{36} z^{6}} .
This matches the option:
1x48y36z6 \frac{1}{x^{48} y^{36} z^{6}}
The equivalent expression is:
1x48y36z6 \boxed{\frac{1}{x^{48} y^{36} z^{6}}}

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