question\nsimplify to a single power of 2:\n$(2^{6})^{2}$\nanswer attempt 1 out of 10\nanswer: $2^{square}$…

question\nsimplify to a single power of 2:\n$(2^{6})^{2}$\nanswer attempt 1 out of 10\nanswer: $2^{square}$ submit answer

question\nsimplify to a single power of 2:\n$(2^{6})^{2}$\nanswer attempt 1 out of 10\nanswer: $2^{square}$ submit answer

Answer

Explanation:

Step1: Apply power - of - a - power rule

The power - of - a - power rule states that ((a^{m})^{n}=a^{m\times n}). For ((2^{6})^{2}), where (a = 2), (m = 6), and (n=2), we have (2^{6\times2}).

Step2: Calculate the exponent

Calculate (6\times2=12). So, ((2^{6})^{2}=2^{12}).

Answer:

(2^{12})