The expression in radical form is [tex](\sqrt[7]{3x^4y^5}) ^3[/tex]
In order to express the given indices expression in radical form, we need to ensure there is a square root present in the resulting expression.
According to the law of indices,
[tex]a^{m/n} = \sqrt[n]{m}[/tex]
Given the indices [tex](3x^4y^5) ^ {3/7}[/tex]
Comparing with the general formula, we will see that:
m = 3
n = 7
a = [tex]3x^4y^5[/tex]
Applying the law of indices:
[tex](3x^4y^5) ^ {3/7} = (\sqrt[7]{3x^4y^5}) ^3[/tex]
Hence the expression in radical form is [tex](\sqrt[7]{3x^4y^5}) ^3[/tex]
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