Pregunta
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The evaluated expression is \( 4x \).
Solución
To evaluate the expression, we recognize that the cube root applies to both 64 and x³ separately. Specifically:
∛(64 x³) = ∛(64) × ∛(x³)
Since 64 is 4³, its cube root is 4. Also, the cube root of x³ is x (assuming x is a real number):
∛(64) = 4
∛(x³) = x
Multiplying these results together gives:
4 × x = 4x
Thus, the evaluated expression is 4x.
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Simplifique esta solución Mind Expander
To evaluate \( \sqrt[3]{64 x^{3}} \), we can break it down. The cube root of \( 64 \) is \( 4 \) because \( 4^3 = 64 \). For \( x^3 \), the cube root is simply \( x \) since \( (x)^3 = x^3 \). Putting it all together, we have: \[ \sqrt[3]{64 x^{3}} = \sqrt[3]{64} \cdot \sqrt[3]{x^3} = 4 \cdot x = 4x \] Thus, the final answer is \( 4x \).
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