Index Laws 4,5 &6 and Negative Indices

Simplify the following expression 

 $\left(v^3\right)^5$  

•  $v^{35}$  

•  $v^8$  

•  $v^{15}$  

•  $v^{-2}$  

Tags

CCSS.HSA.APR.A.1

Simplify the following expression $\left(5x^4y^6\right)^3$  

•  $5x^{12}y^{18}$  

•  $125x^{12}y^{18}$  

•  $15x^{12}y^{18}$  

•  $15x^7y^9$  

Tags

CCSS.HSA.APR.A.1

Simplify the following expression $\left(p^2\right)^4\times\left(q^4\right)^5$  

•  $p^8q^{20}$  

•  $p^6q^9$  

•  $\left(pq\right)^{80}$  

Tags

CCSS.HSA.APR.A.1

Simplify the following expression $\left(2z^4\right)^3\times\left(3y^7\right)^2$  

•  $6z^{12}y^{14}$  

•  $72z^{12}y^{14}$  

•  $72z^7y^9$  

Simplify the following $\left(\frac{x^4}{y^5}\right)^3$  

•  $\left(\frac{x^{34}}{y^{35}}\right)$  

•  $\left(\frac{x^7}{y^8}\right)$  

•  $\left(\frac{x^{12}}{y^{15}}\right)$  

Tags

CCSS.8.EE.A.1

Simplify the following $\left(\frac{4v^7}{2v}\right)^2$  

•  $2v^{12}$  

•  $4v^{12}$  

•  $4v^6$  

•  $2v^6$  

Simplify the following to give a positive index $g^{-5}$  

•  $\frac{1}{g^5}$  

•  $g^{\frac{1}{5}}$  

•  $\frac{1}{5g}$  

•  $\frac{g}{5}$  

Tags

CCSS.8.EE.A.1

Simplify to give a positive indice  $\ 2x^{-9}\times8x^4$  

•  $16x^{-5}$  

•  $\frac{16}{x^5}$  

•  $\frac{28}{x^5}$  

•  $\frac{16}{x^{36}}$  

Tags

CCSS.8.EE.A.1

Simplify to give a positive indices $\left(s^5z^3\right)^{-4}$  

•  $s^{20}z^{12}$  

•   $\frac{1}{s^{20}z^{12}}$  

•  $\frac{s}{z}$  

Tags

CCSS.8.EE.A.1

Simplify to give positive indices $\frac{y^5}{y^9}$  

•  $\frac{1}{y^4}$  

•  $y^{-4}$  

•  $y^4$  

Tags

CCSS.8.EE.A.1