Task 8.5 Review of all Laws of Exponents

Simplify the expression. Make sure to make all exponents positive.

 $xy\cdot\left(x^2\right)^3\cdot\left(y^3\right)^4$  

•  $x^7y^{13}$  

•  $x^6y^8$  

•  $6x\cdot13y$  

•  $x^{13}y^7$  

Simplify the expression. Make sure to make all exponents positive.

 $-\left(2x^5\right)^3$ 

•  $8x^{15}$  

•  $8x^8$  

•  $-8x^{15}$  

•  $-8x^8$  

Simplify the expression. Make sure to make all exponents positive.

 $\left(3m^7\right)\left(m^2n\right)\left(5m^3n^8\right)$ 

•  $8m^{12}n^9$  

•  $8m^{42}n^8$  

•  $15m^{42}n^8$  

•  $15m^{12}n^9$  

Simplify the expression. Make sure to make all exponents positive.

 $\left(a^2b^2\right)^5\cdot\left(a^{-5}\right)^2$ 

•  $a^{10}b^{10}$  

•  $ab^{10}$  

•  $b^{10}$  

•  $a^0b^7$  

Simplify the expression. Make sure to make all exponents positive.

 $\frac{ab^3\cdot\left(ab\right)^{-2}}{a^{-4}b^3}$ 

•  $\frac{a^3}{b^2}$ 

•  $\frac{b^2}{a^3}$ 

•  $a^3b^2$ 

•  $\frac{1}{a^3b^2}$ 

Simplify the expression. Make sure to make all exponents positive.

 $\frac{a^{-2}b^{-1}}{cd^{-3}}$ 

•  $\frac{a^2b}{cd^3}$ 

•  $\frac{d^3}{a^2bc}$ 

•  $\frac{cd^3}{a^2b}$ 

•  $a^2bcd^3$ 

Simplify the expression. Make sure to make all exponents positive.

 $x^2y^0z^{-2}\cdot\left(x^2y^0z^4\right)^4$ 

•  $x^{10}yz^{14}$ 

•  $x^8y^4z^6$ 

•  $4x^8y^4z^6$ 

•  $x^{10}z^{14}$ 

Simplify the expression. Make sure to make all exponents positive.

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

•  $t^7$ 

•  $-t^7$ 

•  $\frac{1}{t^7}$ 

•  $-\frac{1}{t^7}$ 

Simplify the expression. Make sure to make all exponents positive.

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

•  $x^{12}$ 

•  $-x^{16}$ 

•  $x^{16}$ 

•  $-\frac{1}{x^{16}}$ 

Simplify the expression. Make sure to make all exponents positive.

 $\frac{2x^3y^3z^4\cdot2y^2z^{-3}}{\left(2x^{-2}y^3z^{-2}\right)^2}$ 

•  $\frac{2z^3}{xy}$ 

•  $4x^7y^{11}z^5$ 

•  $\frac{x^7z^5}{y}$ 

•  $\frac{y}{x^7z^5}$