Answer:
Simplifying the given expression using only positive exponents will give;
[tex]\frac{-2x^2}{y^5z^7}[/tex]
Explanation:
Given the expression;
[tex]-2x^2y^{-5}z^{-7}[/tex]
We want to re-write the expression such that it has only positive exponents.
Recall that;
[tex]a^{-n}=\frac{1}{a^n}[/tex]
Re-writing the given expression, we have;
[tex]\begin{gathered} -2x^2y^{-5}z^{-7}=-2x^2\cdot\frac{1}{y^5}\cdot\frac{1}{z^7} \\ =\frac{-2x^2}{y^5z^7} \end{gathered}[/tex]
Therefore, simplifying the given expression using only positive exponents will give;
[tex]\frac{-2x^2}{y^5z^7}[/tex]
