Question
Simplify the radical. Assume that all variables represent positive real numbers. sqrt [5](-243x^15y^10) Select the correct choice below w and, if necessary, fill in the answer box to complete your choice. D A. 5 sqrt [5](-243x^15y^10)=square B. The radical does not represent a real number.
Select the correct choice below w and, if necessary, fill in the answer box to complete your choice.
D A. 5
sqrt [5](-243x^15y^10)=square
B. The radical does not represent a real number.](https://static.questionai.ca/resource%2Fqaiseoimg%2F202501%2Fsimplify-radical-assume-variables-represent-positive-tQZLo3mcDv0e.jpg?x-oss-process=image/resize,w_600,h_600/quality,q_50/format,webp)
Solution
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QuincyProfessional · Tutor for 6 years
Answer
$\sqrt[5]{-243x^{15}y^{10}} = \sqrt[5]{(-3)^5(x^3)^5(y^2)^5} = -3x^3y^2$<br /><br />So, the answer is $\boxed{-3x^3y^2}$.<br />
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