Asked by annoymous
so what is the answer? srry i'm a little dum
Answers
Answered by
annoymous
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5−94−12 with positive exponents only.
Answered by
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.
Answered by
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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