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