Question

Simplify the radical expression.

Answer 1

`\textsf{b)} \quad y^3`

Explanation:

A radical expression is a mathematical notation that includes a radical symbol (√) to indicate the extraction of a root, along with an expression inside the symbol from which the root is to be calculated, often involving variables and constants.

To simplify the given radical expression, we can use the fractional exponent rule.

`\large\boxed{\begin{array}{c}\underline{\sf Fractional\;Exponent\;Rule}\\\\\sqrt[n]{a^m}=a^{(m)/(n)}\\\end{array}}`

Therefore, applying the rule to the given radical expression, we get:

`\large\begin{aligned}\sqrt[4]{y^(12)}&=y^{(12)/(4)}=\boxed{y^3}\end{aligned}`