what is the result of 2^5/2^2

1 answer

To simplify \( \frac{2^5}{2^2} \), you can use the property of exponents that states:

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

Applying this to your expression:

\[ \frac{2^5}{2^2} = 2^{5-2} = 2^3 \]

Now, calculate \( 2^3 \):

\[ 2^3 = 2 \times 2 \times 2 = 8 \]

So, the result of \( \frac{2^5}{2^2} \) is \( 8 \).