Final answer to the problem
$\sqrt[3]{256}xz^{11}-\sqrt{48}z^{3}+5\sqrt[3]{16}xz^{\frac{11}{3}}$
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Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression (256x^3)^(1/3)z^11-(48z^6)^(1/2)5xz^2(16z^5)^(1/3). The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. . Simplify \sqrt[3]{x^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{3}.
Final answer to the problem
$\sqrt[3]{256}xz^{11}-\sqrt{48}z^{3}+5\sqrt[3]{16}xz^{\frac{11}{3}}$
