Question

Which statement is true?

Answer 1

Answer: (d)

Explanation:

For option (a)

`\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}`

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

for option (b)

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

for option (c)

`\Rightarrow \frac{\sqrt[m]{x} }{\sqrt[m]{y} }=\sqrt[m]{(x)/(y)}`

for option (d)

exponent multiplies

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

option (d) is correct