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Answer :

Answer: (d)

Step-by-step explanation:

For option (a)

[tex]\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}[/tex]

for the same exponent, numbers multiply keeping exponent the same.

for option (b)

[tex]a\sqrt[n]{x} +b\sqrt[n]{y} =\left(a+b\right)\sqrt[n]{x}[/tex]

for option (c)

[tex]\Rightarrow \dfrac{\sqrt[m]{x} }{\sqrt[m]{y} }=\sqrt[m]{\dfrac{x}{y}}[/tex]

for option (d)

exponent multiplies

[tex]\therefore \left(\sqrt[m]{x^a} \right)^b=\sqrt[m]{x^{ab}}[/tex]

option (d) is correct