Home
/
Math
/
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.

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.

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.

Solution

expert verifiedExpert Verified
4.5(290 Voting)
avatar
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 />
Click to rate: