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question simplify to a single power of 4: \\(\\frac{4^6}{4^2}\\) answer…

Question

question
simplify to a single power of 4:
\\(\frac{4^6}{4^2}\\)

answer attempt 1 out of 2
answer: \\(4^{\square}\\)
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Explanation:

Step1: Apply exponent division rule

When dividing exponents with the same base, subtract the denominator exponent from the numerator exponent: $\frac{a^m}{a^n}=a^{m-n}$
$\frac{4^6}{4^2}=4^{6-2}$

Step2: Calculate the exponent

Subtract the values in the exponent.
$4^{6-2}=4^4$

Answer:

$4^4$