which expression is equivalent to $\sqrt5{11^3}$?

$\bigcirc$ $11^{\frac{3}{5}}$

$\bigcirc$ $11^{\frac{5}{3}}$

$\bigcirc$ $11^{15}$

$\bigcirc$ $(11^3)^5$

Question

which expression is equivalent to $\sqrt5{11^3}$?

$\bigcirc$ $11^{\frac{3}{5}}$

$\bigcirc$ $11^{\frac{5}{3}}$

$\bigcirc$ $11^{15}$

$\bigcirc$ $(11^3)^5$

Accepted Answer

# Answer:
$11^{\frac{3}{5}}$

# Explanation:
## Step1: Identify the radical expression
$$\sqrt[5]{11^{3}}$$

## Step2: Apply the rational exponent rule
$$\sqrt[n]{a^{m}} = a^{\frac{m}{n}}$$

## Step3: Convert to rational exponent form
$$11^{\frac{3}{5}}$$

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