Properties of Exponents (Product rule)

Simplify.

 $5vu^3\ \left(u^3\right)$  

•  $-2u^4v^5$  

•  $5vu^6$  

•  $-2vu^9$  

•  $8u^7v^8$  

 $\left(-4\right)^2\ \cdot\left(-4\right)^4$  

•  $\left(-4\right)^8$  

•  $\left(-4\right)^6$  

•  $\left(-4\right)^4$  

•  $\left(-4\right)^5$  

 $5^4\cdot5^2$  

•  $5^7$  

•  $5^{10}$  

•  $5^6$  

•  $5^5$  

Answer explanation

Add exponents when multipying bases that are the same. 

 $-2\ \left(-2\right)^4$  

•  $-2^5$  

•  $-2^6$  

•  $-2^9$  

•  $-2^{10}$  

Answer explanation

Add exponents when multiplying bases that are the same. 

 $x^2\cdot2x^3y^5$  

•  $-3x^6y^5$  

•  $-25x^8y^5$  

•  $2x^5y^5$  

•  $4x^4y^9$  

Answer explanation

Take each number and letter as a separate problem. Each answer creates the overall answer.  

 $Simplify:\ u^3v^5\cdot uv^5$  

•  $u^4v^{10}$  

•  $u^7v^4$  

•  $u^6v^9$  

•  $u^{10}v^6$  

 $Simplify\ :\ 4qp^3r^5\ \left(p^2r^2\right)$  

•  $4qp^5r^7$  

•  $4qp^6r^7$  

•  $-4qp^5r^7$  

•  $-4qp^6r^7$  

Simplify

 $-2yx^4\cdot3xy^3$  

•  $-15x^7y^8$  

•  $-4x^6y^2$  

•  $-6y^4x^5$  

•  $-20x^9y^3$  

Simplify

 $-4x^4y^3z^2\ \cdot\ -4x^3y^4z^5$  

•  $18y^8x^5z^2$  

•  $8z^4xy$  

•  $16x^7y^7z^7$  

•  $8x^6y^5z^5$  

 $Simplify:\ zx^4\ \cdot x^2y^5z^5$  

•  $x^6y^9z^4$  

•  $y^6z^5x^5$  

•  $x^9y^{14}z^{11}$  

•  $x^6y^{10}z^6$