Question

What is the expression in radical form? Enter your answer, in simplest form, in the box.

Answer 1

The answer is 

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Answer 2

The expression in radical form is expressed as $(\sqrt[7]{7x^3y^2}) ^2$

Expressing the given expression in radical form means we need to introduce root into the expression:

According to the law of indices;

$(a^m)^n=a^{mn}\\a^\frac{m}{n}=\sqrt[n]{m}$

Given the indicinal expression:

$=(7x^3y^2)^\frac{2}{7}\\ =(\sqrt[7]{7x^3y^2}) ^2$

Hence the expression in radical form is expressed as $(\sqrt[7]{7x^3y^2}) ^2$

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