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Let’s check out your problem:
Simplify. Express your answer using positive exponents.
\newline
5
r
2
r
\frac{5r^2}{r}
r
5
r
2
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Math Problems
Algebra 1
Simplify exponential expressions using the multiplication rule
Full solution
Q.
Simplify. Express your answer using positive exponents.
\newline
5
r
2
r
\frac{5r^2}{r}
r
5
r
2
Write Expression:
Write down the expression to be simplified.
\newline
We have the expression
5
r
2
r
\frac{5r^2}{r}
r
5
r
2
.
Divide Terms:
Divide the terms with the same base.
\newline
When dividing powers with the same base, subtract the exponents.
\newline
5
r
2
r
=
5
×
r
2
−
1
=
5
×
r
1
\frac{5r^2}{r} = 5 \times r^{2-1} = 5 \times r^1
r
5
r
2
=
5
×
r
2
−
1
=
5
×
r
1
Simplify Expression:
Simplify the expression.
\newline
Since
r
1
r^1
r
1
is just
r
r
r
, we can write the expression as:
\newline
5
×
r
1
=
5
r
5 \times r^1 = 5r
5
×
r
1
=
5
r
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\newline
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