To simplify the expression \( \frac{m^{-9}k^3}{h^0} \), we need to address the components individually.
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The expression \( h^0 \) equals 1 (since any non-zero number raised to the power of 0 equals 1). Thus, \( h^0 \) can be ignored in the denominator.
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The expression now looks like \( m^{-9}k^3 \).
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To handle the negative exponent \( m^{-9} \), we rewrite it as \( \frac{k^3}{m^{9}} \).
Putting this all together, we have:
\[ m^{-9}k^3 = \frac{k^3}{m^9} \]
Since we want only positive exponents, we do not need to worry about negative exponents anymore.
Thus, the final simplified expression is:
\[ \frac{k^3}{m^9} \]
So the correct answer from the options you provided would be:
\( \frac{k^3}{m^9} \), or simply \( k^3/m^9 \).