Answer:
[tex]a=16[/tex]
Step-by-step explanation:
we know the power rule:
[tex](a^{m})^{n} =a^{m*n}[/tex]
In this problem we have
[tex]a^{16}=2^{64}[/tex]
rasise both sides to 1/16
[tex](a^{16})^{\frac{1}{16}}=(2^{64})^{\frac{1}{16}}[/tex]
Applying the power rule
[tex](a)^{\frac{16}{16}}=(2)^{\frac{64}{16}[/tex]
simplify
[tex]a=(2)^{4}[/tex]
[tex]a=16[/tex]
