Answer
(a) $16a^{4}b^{2}$
(b) $8w^6z^{9/8}$
Work Step by Step
(a) $(64a^{6}b^{3})^{2/3}=64^{2/3}a^{6*2/3}b^{3*2/3}=16a^{4}b^{2}$
(b) $(16w^{8}z^{3/2})^{3/4}=16^{3/4}w^{8*3/4}z^{(3/2)(3/4)}=8w^6z^{9/8}$
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