Question

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

Answer 1

For a.

Factored form

$\frac{2\cdot2\cdot2\cdot2}{2\cdot2}$

Simplified exponent form

$\frac{2^4}{2^2}=2^2=4$

For b.

Factored form

$\frac{3\cdot3\cdot3\cdot3}{3\cdot3\cdot3\cdot3\cdot3}$

Simplified exponent form

$\frac{3^4}{3^5}=\frac{1}{3}$

For c.

Factored form

$\frac{y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y}{y\cdot y\cdot y\cdot y}$

Simplified exponent form

$\frac{y^7}{y^4}=y^3$

For d.

Factored form

$\frac{x\cdot x\cdot x\cdot y\cdot y}{x\cdot y\cdot y}$

Simplified exponent form

$\frac{x^3y^2}{xy^2}=x^2$