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Answer:
5) [tex]125^{1/5}*m[/tex]
6) [tex]4*x^{2/3}[/tex]
7) [tex]9^{1/3}*b^{8/3}[/tex]
8) [tex]75^{1/2}*x^3[/tex]
Step-by-step explanation:
Problem 5:
[tex]\sqrt[5]{125m^5}=\sqrt[5]{125}*\sqrt[5]{m^5}=125^{1/5}*m[/tex]
Problem 6:
[tex]\sqrt[3]{(8x)^2}=\sqrt[3]{64x^2}=\sqrt[3]{64}*\sqrt[3]{x^2}=4*x^{2/3}[/tex]
Problem 7:
[tex]\sqrt[3]{9b^8}=\sqrt[3]{9}*\sqrt[3]{b^8}=9^{1/3}*b^{8/3}[/tex]
Problem 8:
[tex]\sqrt{75x^6}=\sqrt{75}*\sqrt{x^6}=75^{1/2}*x^3[/tex]