Answer:
[tex]\frac{1}{216}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
Evaluate the parenthesis
1³ + 2³ + 3³ = 1 + 8 + 27 = 36 , then
[tex](36)^{-\frac{3}{2} }[/tex]
= [tex]\frac{1}{36^{\frac{2}{3} } }[/tex]
= [tex]\frac{1}{(\sqrt{36})^3 }[/tex]
= [tex]\frac{1}{6^{3} }[/tex]
= [tex]\frac{1}{216}[/tex]
