Question

Which expression is equivalent to r^9/r^3

A. r^3
B. r^6
C. r^12
D. r^27

Answer 1

B r^6

Explanation:

When you divide exponential terms with the same base, you subtract the exponents.

Answer 2

`\huge\text{Hey there!}`

`\mathsf{(r^9)/(r^3)}`

`\mathsf{= (r* r* r * r* r* r * r* r* r)/(r* r* r)}`

`\huge\textbf{Simplify it}`

`\mathsf{= r* r* r * r* r* r}`

`\mathsf{= 1r* 1r* 1r * 1r* 1r* 1r}`

`\mathsf{= 1r^2 * 1r^2 * 1r^2}`

`\mathsf{= 1r^4*1r^2}`

`\mathsf{= 1r^(4 + 2)}`

`\mathsf{= 1r^6\rightarrow r^6}`

`\huge\text{Therefore, your answer should be:}`

`\huge\boxed{\mathsf{r^6 (Option\ B)}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`