simplify to a single power of 2:\n\\((2^4)^5\\)\nanswer attempt 1 out of 2\nanswer: \\(2^{\\square}\\)…
simplify to a single power of 2:\n\\((2^4)^5\\)\nanswer attempt 1 out of 2\nanswer: \\(2^{\\square}\\) submit answer
Answer
Explanation:
Step1: Recall power of a power rule
The power of a power rule states that ((a^m)^n = a^{m \times n}). Here, (a = 2), (m = 4), and (n = 3).
Step2: Apply the rule
Using the rule, we calculate the exponent: (4\times3 = 12). So, ((2^4)^3 = 2^{4\times3}=2^{12}).
Answer:
(2^{12}) (the exponent is 12, so the box should be filled with 12)