Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Using the rules of exponents
• [tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]
• [tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
Hence
[tex]16^{-\frac{3}{4} }[/tex] = [tex]\frac{1}{16^{\frac{3}{4} } }[/tex]
= [tex]\frac{1}{\sqrt[4]{16^{3} } }[/tex] = [tex]\frac{1}{2^{3} }[/tex] = [tex]\frac{1}{8}[/tex]
