Question
so what is the answer? srry i'm a little dum
Answers
GPT-4o mini
No need to apologize! I'm here to help. What question do you have? Just let me know, and I'll do my best to provide an answer.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5−94−12 with positive exponents only.
GPT-4o mini
To simplify the expression \( 5^{-9} 4^{-12} \) and express it with positive exponents only, we can apply the property of negative integer exponents, which states that \( a^{-n} = \frac{1}{a^n} \).
Applying this to each term in the expression:
1. For \( 5^{-9} \), we can rewrite it as:
\[
5^{-9} = \frac{1}{5^{9}}
\]
2. For \( 4^{-12} \), we rewrite it similarly:
\[
4^{-12} = \frac{1}{4^{12}}
\]
Putting it all together, we have:
\[
5^{-9} 4^{-12} = \frac{1}{5^{9}} \cdot \frac{1}{4^{12}} = \frac{1}{5^{9} \cdot 4^{12}}
\]
Thus, the expression \( 5^{-9} 4^{-12} \) with positive exponents only is:
\[
\frac{1}{5^{9} \cdot 4^{12}}
\]
Applying this to each term in the expression:
1. For \( 5^{-9} \), we can rewrite it as:
\[
5^{-9} = \frac{1}{5^{9}}
\]
2. For \( 4^{-12} \), we rewrite it similarly:
\[
4^{-12} = \frac{1}{4^{12}}
\]
Putting it all together, we have:
\[
5^{-9} 4^{-12} = \frac{1}{5^{9}} \cdot \frac{1}{4^{12}} = \frac{1}{5^{9} \cdot 4^{12}}
\]
Thus, the expression \( 5^{-9} 4^{-12} \) with positive exponents only is:
\[
\frac{1}{5^{9} \cdot 4^{12}}
\]
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