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simplify. $16^{\frac{3}{2}}$

Question

simplify.
$16^{\frac{3}{2}}$

Explanation:

Step1: Usar la propiedad de exponentes $a^{\frac{m}{n}}=\sqrt[n]{a^m}$

$16^{\frac{3}{2}}=\sqrt{16^3}$

Step2: Calcular $16^3$

$16^3 = 16\times16\times16 = 4096$

Step3: Calcular la raíz cuadrada de 4096

$\sqrt{4096}=64$ (porque $64\times64 = 4096$)

Answer:

64