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QUESTION IMAGE

$\\sqrt5{32,768} = \\square$

Question

$\sqrt5{32,768} = \square$

Explanation:

Step1: Rewrite number as power

$32768 = 2^{15}$

Step2: Apply root to power rule

$\sqrt[5]{2^{15}} = 2^{\frac{15}{5}}$

Step3: Simplify the exponent

$2^{\frac{15}{5}} = 2^3$

Step4: Calculate the final value

$2^3 = 8$

Answer:

8