Simplify the following expression, answers should have only positive exponents:

m^-9k^3/h^0

m^9k^3/h^0
k^3/m^9
h^0k^3/m^9
m^9k^3

1 answer

To simplify the expression \( \frac{m^{-9}k^3}{h^0} \), we need to address the components individually.

  1. 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.

  2. The expression now looks like \( m^{-9}k^3 \).

  3. 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 \( k^3/m^9 \).