(43)2= (4^3)^2= (43)2=
To solve (43)2 (4^3)^2 (43)2, we use the power of a power rule which states that (am)n=am⋅n (a^m)^n = a^{m \cdot n} (am)n=am⋅n.
Here, a=4 a = 4 a=4, m=3 m = 3 m=3, and n=2 n = 2 n=2.
So, we calculate 43⋅2 4^{3 \cdot 2} 43⋅2,
which simplifies to 46 4^6 46.
46 4^6 46