QUESTION IMAGE
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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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.
$4^{6-2}=4^4$
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$4^4$