Question

simplify to a single power of 2:
\\((2^4)^5\\)
answer attempt 2 out of 2
answer: \\(2^{\square}\\)
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Explanation:

Step1: Recall exponent rule

When raising a power to a power, we multiply the exponents. The rule is \((a^m)^n = a^{m\times n}\).

Step2: Apply the rule to \((2^4)^5\)

Here, \(a = 2\), \(m = 4\), and \(n = 5\). So we calculate \(4\times5 = 20\). Thus, \((2^4)^5 = 2^{4\times5}=2^{20}\).

Answer:

\(2^{20}\) (so the exponent is 20)