Answer
$-8a^{5}b^{4}$
Work Step by Step
When we raise a power to a power, we multiply the powers together and keep the base. Let's multiply the exponent of each term by the exponent outside of the parentheses:
$(-2a^{\frac{2}{3}}b)^{3}(ab^{\frac{1}{3}})^{3}$
Multiply the exponents:
$((-2)^3a^{({\frac{2}{3}})(3)}b^{3})(a^{3}b^{(\frac{1}{3})(3)})$
Simplify the expression:
$-8a^{2}b^{3}a^{3}b^{1}$
When multiplying exponents with the same base, we add the exponents and keep the same base:
$-8a^{5}b^{4}$
