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QUESTION IMAGE

rewrite using a single positive exp \\(\\frac{8^6}{8^2}\\)

Question

rewrite using a single positive exp
\\(\frac{8^6}{8^2}\\)

Explanation:

Step1: Recall exponent rule for division

When dividing two numbers with the same base, we subtract the exponents: $\frac{a^m}{a^n}=a^{m - n}$ (where $a
eq0$). Here, the base $a = 8$, $m = 6$, and $n = 2$.

Step2: Apply the exponent rule

Using the rule $\frac{8^6}{8^2}=8^{6 - 2}$.

Step3: Calculate the exponent

Simplify $6-2 = 4$. So, $\frac{8^6}{8^2}=8^4$.

Answer:

$8^4$