Using the Quotient Rule of Exponents, what is an equivalent form of 5^8÷5^2 ?

Answer 1

To simplify the expression \( 5^8 \div 5^2 \) using the Quotient Rule of Exponents, we can use the following rule:

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

Here, \( a = 5 \), \( m = 8 \), and \( n = 2 \). Applying the rule, we have:

\[ 5^8 \div 5^2 = 5^{8-2} = 5^6 \]

Thus, the equivalent form of \( 5^8 \div 5^2 \) is \( 5^6 \).