Answer
$$4b^2$$
Work Step by Step
Factor the terms inside the radical
$$\sqrt[3]{64b^6}=\sqrt[3]{2^6b^6}=\sqrt[3]{2^32^3b^3b^3}$$
The cube root of a cubed expression is the expression
$$=2\times 2 \times b\times b=4b^2$$
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