which expression is equivalent to $\sqrt7{2^3}$?

$\bigcirc$ $2^{\frac{3}{7}}$

$\bigcirc$ $2^3$

$\bigcirc$ $2^7$

$\bigcirc$ $2^{\frac{7}{3}}$

Question

which expression is equivalent to $\sqrt7{2^3}$?

$\bigcirc$ $2^{\frac{3}{7}}$

$\bigcirc$ $2^3$

$\bigcirc$ $2^7$

$\bigcirc$ $2^{\frac{7}{3}}$

Accepted Answer

# Answer:
$2^{\frac{3}{7}}$

# Explanation:
## Step1: Identify the radical expression
$$\sqrt[7]{2^3}$$

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

## Step3: Convert to exponential form
$$2^{\frac{3}{7}}$$

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