Answer:
216
Step-by-step explanation:
Recall that a fractional exponent corresponds to a root, and that a negative exponent corresponds to the expression being on the opposite side of the fraction line.
Therefore, this expression can also be written as:
[tex]\frac{1}{(1^3+2^3+3^3)^{-3/2}} =(\sqrt{1^3+2^3+3^3})^3 =\\=(\sqrt{1+8+27} )^3=(\sqrt{36})^3 = 6^3=216[/tex]
