Answer:
[tex] 3x^{5}y^{24} [/tex]
Step-by-step explanation:
[tex] \sqrt[3]{27x^{15}}y^{24} = [/tex]
[tex] = \sqrt[3]{3^3x^{15}}y^{24} [/tex]
[tex] = (3^3x^{15})^{\frac{1}{3}}y^{24} [/tex]
[tex] = (3^3)^{\frac{1}{3}}(x^{15})^{\frac{1}{3}}y^{24} [/tex]
[tex] = 3^{3 \times \frac{1}{3}}x^{15 \times \frac{1}{3}}y^{24} [/tex]
[tex] = 3^1x^{5}y^{24} [/tex]
[tex] = 3x^{5}y^{24} [/tex]
