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so what is the answer? srry i'm a little dum
3 answers
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5−94−12 with positive exponents only.
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:
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For \( 5^{-9} \), we can rewrite it as: \[ 5^{-9} = \frac{1}{5^{9}} \]
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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: \[ \frac{1}{5^{9} \cdot 4^{12}} \]