audio read-through Recognizing the patterns $\,x^n\,$ and $\,(-x)^n$

You may want to explore these related concepts first: Equal or Opposites?

Examples

In the exercise, you will be filling in the blanks:

The expression $\,(-y)^{24}\,$
is of the form $\,(-x)^n\,$
where $\,x\,$ is input field y
and $\,n\,$ is input field 24

Note that in the pattern $\,(-x)^n\,$, the variable ‘$\,x\,$’ represents whatever comes after the minus sign, and the variable ‘$\,n\,$’ represents the exponent.

The expression $\,(-3x)^{13}\,$ is of the form $\,(-x)^n\,$ where $\,x\,$ is input field 3x and $\,n\,$ is input field 13.

Try not to be confused by the appearance of the variable ‘$\,x\,$’ in two places! Again, we're matching something to the pattern $\,(-x)^n\,$, where ‘$\,x\,$’ represents whatever comes after the minus sign. What comes after the minus sign in $\,(-3x)^{13}\,$?   Answer: $\,3x\,$

The expression $\,(-2x)^{7}\,$ is of the form $\,x^n\,$ where $\,x\,$ is input field negative 2x and $\,n\,$ is input field 7.

Here, we're matching something to the pattern $\,x^n\,$, so ‘$\,x\,$’ represents the entire base.

Practice

The expression
is of the form
where $\,x\,$ is
and $\,n\,$ is