Answer:
A) [tex]16^\frac{3}{4}=\sqrt[4]{16^3}[/tex]
Step-by-step explanation:
1) According to Exponents Law, whenever we have a number raised to a fraction this is the same as having a root of its number whose index is the denominator, raised to the numerator.
[tex]n^{\frac{a}{b}}=\sqrt[b]{n^{a}}\\16^{\frac{3}{4}}=\sqrt[4]{16^{3}}=\sqrt[4]{4096}=\sqrt[4]{2^{12}}=8[/tex]
Then [tex]16^\frac{3}{4}=\sqrt[4]{16^3}[/tex]
