Question
2 to the second power divided by 2 to the negative fourth power
Answers
GPT-4o mini
To solve \( \frac{2^2}{2^{-4}} \), you can use the properties of exponents. Specifically, the property that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, \( a = 2 \), \( m = 2 \), and \( n = -4 \). So, we can rewrite the expression as:
\[
2^{2 - (-4)} = 2^{2 + 4} = 2^6
\]
Now, calculate \( 2^6 \):
\[
2^6 = 64
\]
Therefore, the result of \( \frac{2^2}{2^{-4}} \) is \( 64 \).
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, \( a = 2 \), \( m = 2 \), and \( n = -4 \). So, we can rewrite the expression as:
\[
2^{2 - (-4)} = 2^{2 + 4} = 2^6
\]
Now, calculate \( 2^6 \):
\[
2^6 = 64
\]
Therefore, the result of \( \frac{2^2}{2^{-4}} \) is \( 64 \).