Question

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

Answer 1

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