EXAMPLES:
In the exercise, you will be filling in the blanks:
The expression
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$\,(-y)^{24}\,$ is of the form
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$\,(-x)^n\,$
where
$\,x\,$ is
and
$\,n\,$ is
.
Note that in the pattern
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$\,(-x)^n\,$,
the variable ‘$\,x\,$’ represents
whatever comes
after the minus sign,
and the variable ‘$\,n\,$’
represents the exponent.
The expression
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$\,(-3x)^{13}\,$ is of the form
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$\,(-x)^n\,$
where
$\,x\,$ is
and
$\,n\,$ is
.
Try not to be confused by the appearance of the variable ‘$\,x\,$’ in two places!
Again, we're matching something to the pattern
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$\,(-x)^n\,$,
where ‘$\,x\,$’ represents
whatever comes
after the minus sign.
What comes after the minus sign in $\,(-3x)^{13}\,$?
Answer: $\,3x\,$
The expression
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$\,(-2x)^{7}\,$ is of the form
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$\,x^n\,$
where
$\,x\,$ is
and
$\,n\,$ is
.
Here, we're matching something to the pattern
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$\,x^n\,$,
so ‘$\,x\,$’ represents the entire base.
Master the ideas from this section
by practicing the exercise at the bottom of this page.
When you're done practicing, move on to:
Writing Expressions in the form $\,kx^n$