Simplify the following expression, answers should have only positive exponents:
m^−9k^3\h^0
Responses
m^9k^3
m to the 9th power k cubed
k^3\m^9
the fraction with numerator k cubed and denominator m to the 9th power
m^9k^3\h^0
the fraction with numerator m to the 9th power k cubed and denominator h to the 0 power
h^0k^3\m^9
The expression h^0k^3\m^9 simplifies to k^3\m^9.
The expression h^0k^3/m^9 can be simplified as follows:
1 * k^3 / m^9
This can be further simplified as:
k^3 / m^9
To simplify the expression \(m^{-9}k^3h^0\), we need to apply the rules of exponents.
First, let's address \(m^{-9}\). The negative exponent means that we need to take the reciprocal of the base. So \(m^{-9}\) is equivalent to \(\frac{1}{m^9}\).
Next, \(h^0\) can be simplified to 1. Any number or variable to the power of 0 is always equal to 1.
Finally, we can simplify the expression further:
\[\frac{1}{m^9}k^3 \cdot 1\]
Since anything multiplied by 1 remains the same, we can remove the multiplication by 1:
\[\frac{1}{m^9}k^3\]
Therefore, the expression \(m^{-9}k^3h^0\) simplifies to \(\frac{1}{m^9}k^3\).