Answer:
4/27
Step-by-step explanation:
The laws of exponent are used for the simplification of expressions with exponential powers. Considering the given expression, the applicable laws of exponents are
a^-x = (1/a)^x
and
a^(x/b) = b√a^x
Hence
9-3/2 · 82/3
= (1/9)^3/2 . 8^2/3
= √(1/9)³ . ∛8²
= (1/3)³ . 2²
= 1/27 . 4
= 4/27
