Using the Quotient Rule of Exponents, what is an equivalent form of 2^8÷2^4?(1 point

1 answer

To use the Quotient Rule of Exponents, recall that for any base \( a \) and exponents \( m \) and \( n \), the Quotient Rule states:

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

In your case, you have:

\[ \frac{2^8}{2^4} \]

Applying the Quotient Rule:

\[ 2^8 \div 2^4 = 2^{8-4} = 2^4 \]

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