Question

Please simplify.


`(y10)/(y7)`

A.
`y^(3)`

B.
`y^(17)`

C.
`y^(-3)`

D.
`y^(70)`

Answer 1

It’s A. Your welcome

Answer 2

`\large\boxed{A.\ y^3}`

Explanation:

`\text{Use}\ (a^m)/(a^n)=a^(m-n)\\\\(y^(10))/(y^7)=y^(10-7)=y^3`

`\text{Other method:}`

`\text{We know:}\ a^n=\underbrace{a\cdot a\cdot a\cdot...\cdot a}_(n)\\\\y^(10)=\underbrace{y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y}_(10)\\\\y^7=\underbrace{y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y}_7}`

`(y^(10))/(y^7)=(y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\cdot y\cdot y)/(y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup)=y\cdot y\cdot y=y^3`