Question

Expand each expression below into factored form. Then rewrite it in simplified exponent form.

Answer 1

For a.

Factored form

`(2\cdot2\cdot2\cdot2)/(2\cdot2)`

Simplified exponent form

`(2^4)/(2^2)=2^2=4`

For b.

Factored form

`(3\cdot3\cdot3\cdot3)/(3\cdot3\cdot3\cdot3\cdot3)`

Simplified exponent form

`(3^4)/(3^5)=(1)/(3)`

For c.

Factored form

`(y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y)/(y\cdot y\cdot y\cdot y)`

Simplified exponent form

`(y^7)/(y^4)=y^3`

For d.

Factored form

`(x\cdot x\cdot x\cdot y\cdot y)/(x\cdot y\cdot y)`

Simplified exponent form

`(x^3y^2)/(xy^2)=x^2`