using the Quotient Rule of Exponents, what is an equivalent form of 2^6÷2^3 ?

1 answer

The Quotient Rule of Exponents states that when you divide two powers with the same base, you subtract the exponents. Mathematically, this rule can be expressed as:

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

In your case, you have:

\[ \frac{2^6}{2^3} \]

Using the Quotient Rule:

\[ 2^6 ÷ 2^3 = 2^{6-3} = 2^3 \]

So, an equivalent form of \( 2^6 ÷ 2^3 \) is \( 2^3 \). If you want to simplify further, \( 2^3 = 8 \).

Therefore, the answer is \( 2^3 \) or \( 8 \).