Question

This is my sons homework noone seems to know how to do it

Answer 1

Simplifying the given expression using only positive exponents will give;

`(-2x^2)/(y^5z^7)`

Step-by-step explanation:

Given the expression;

`-2x^2y^(-5)z^(-7)`

We want to re-write the expression such that it has only positive exponents.

Recall that;

`a^(-n)=(1)/(a^n)`

Re-writing the given expression, we have;

`\begin{gathered} -2x^2y^(-5)z^(-7)=-2x^2\cdot(1)/(y^5)\cdot(1)/(z^7) \\ =(-2x^2)/(y^5z^7) \end{gathered}`

Therefore, simplifying the given expression using only positive exponents will give;

`(-2x^2)/(y^5z^7)`