Using the Quotient Rule of Exponents, what is an equivalent form of 8^6÷8^2 ?

Answer 1

To simplify \( 8^6 \div 8^2 \) using the Quotient Rule of Exponents, we apply the rule that states:

\[ \frac{a^m}{a^n} = a^{m-n} \]

In this case, we have:

\[ \frac{8^6}{8^2} = 8^{6-2} = 8^4 \]

So, the equivalent form of \( 8^6 \div 8^2 \) is \( 8^4 \).