Question

basic exponent rules
this is the only question in this section.
question
simplify to a single power of 2:
(2^6)^2
answer attempt 1 out of 5
answer: 2^□
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Explanation:

Step1: Apply power - of - a - power rule

According to the rule $(a^m)^n=a^{m\times n}$, for $(2^6)^2$, we have $a = 2$, $m = 6$ and $n=2$.
So, $(2^6)^2=2^{6\times2}$

Step2: Calculate the exponent

$6\times2 = 12$, so $2^{6\times2}=2^{12}$

Answer:

$2^{12}$