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Which expression is equivalent to \frac{r^9}{r^3}

User Kuropan
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2 Answers

10 votes

Hii!

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\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup

r^6


\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup

To simplify this we need to use the division property of exponents:


\large\boxed{\mathtt{(x^m)/(x^n) =x^(m-n)}}. So if we divide two numbers with the same base, we subtract their exponents.

Let's apply this rule here.


\twoheadrightarrow\sf r^9/ r^3.


\bullet Since these two numbers have the same base, we subtract their exponents


\twoheadrightarrow\sf r^6


\bullet Great job! We found the answer

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Hope that this helped! Best wishes.


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User KurzedMetal
by
8.4k points
9 votes

Answer:
(r^9)/(r^3) = r^(9-3) = r^6

We subtract the exponents when dividing terms with the same base.

The general rule is
(a^b)/(a^c) = a^(b-c)

User Niklaus
by
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