Answer:
[tex]=4ab[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{64a^3b^3}\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0\\=\sqrt[3]{64}\sqrt[3]{a^3}\sqrt[3]{b^3}\\\sqrt[3]{64}=4\\=4\sqrt[3]{a^3}\sqrt[3]{b^3}\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0\\\sqrt[3]{a^3}=a\\=4a\sqrt[3]{b^3}\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0\\\sqrt[3]{b^3}=b\\=4ab\\[/tex]
