Solve (4³)²: Double Exponent Calculation Step-by-Step

Question

(43)2= (4^3)^2=

Step-by-Step Solution

To solve (43)2 (4^3)^2 , we use the power of a power rule which states that (am)n=amn (a^m)^n = a^{m \cdot n} .

Here, a=4 a = 4 , m=3 m = 3 , and n=2 n = 2 .

So, we calculate 432 4^{3 \cdot 2} ,

which simplifies to 46 4^6 .

Answer

46 4^6