question\nsimplify to a single power of 4:\n\\((4^4)^5\\)\n\nanswer attempt 1 out of 2\nanswer…

question\nsimplify to a single power of 4:\n\\((4^4)^5\\)\n\nanswer attempt 1 out of 2\nanswer: \\(4^{\\square}\\) \nsubmit answer

question\nsimplify to a single power of 4:\n\\((4^4)^5\\)\n\nanswer attempt 1 out of 2\nanswer: \\(4^{\\square}\\) \nsubmit answer

Answer

Explanation:

Step1: Apply exponent power rule

Recall the rule: $(a^m)^n = a^{m \times n}$ For $(4^4)^5$, this gives $4^{4 \times 5}$

Step2: Calculate the new exponent

$4 \times 5 = 20$ So the expression becomes $4^{20}$

Answer:

$4^{20}$