How do you simplify $(x^2)(x^7)$ ?

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Answer 1 · 2016-05-17T11:30:46

$x^9$

As they are both just $x$ you are allowed to do this:

$x^(2+7) = x^9 larr" this is the shortcut method"$

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More teaching!

You can only do the above for multiply. If they were divide then we do something different.

Example: suppose we had $a^4-:a^2$

Then this is written as $a^(4-2) = a^2 larr" this is the shortcut method"$

Consider it as : $(axxaxxcancel(a)xxcancel(a))/(cancel(a)xxcancel(a)) = a^2$

How do you simplify (x^2)(x^7)(x^2)(x^7)?