Simplify.

Question

StartFraction r squared times r Superscript 6 Baseline times r Over r cubed EndFraction
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Part 1
StartFraction r squared times r Superscript 6 Baseline times r Over r cubed EndFraction
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​(Simplify your answer. Type exponential notation with positive​ exponents.)

Answer 1

To simplify the expression

\[ \frac{r^2 \times r^6 \times r}{r^3} \]

we can start by combining the terms in the numerator.

1. Combine the powers of \( r \) in the numerator:

\[ r^2 \times r^6 \times r = r^{2+6+1} = r^9 \]

So, the numerator simplifies to \( r^9 \).

2. Now, rewrite the expression:

\[ \frac{r^9}{r^3} \]

3. Apply the property of exponents (subtract the exponents when dividing):

\[ \frac{r^9}{r^3} = r^{9-3} = r^6 \]

The simplified expression is:

\[ \boxed{r^6} \]