Simplifying Exponents #2

 $x^3y^2x^5=$  

•  $x^2y^2$  

•  $x^{15}y^2$  

•  $x^8y^2$  

•  $\left(xy\right)^{10}$  

 $\left(2x\right)\left(3x^3y^2\right)=$  

•  $5x^4y^2$  

•  $6x^4y^2$  

•  $6x^2y^2$  

•  $5x^2y^2$  

 $3x^0=$  

•  $1$  

•  $0$  

•  $4$  

•  $3$  

Answer explanation

The exponent of zero is only applied to the x, not the 3. so  $3x^0$  = 3(1)=3. For the entire problem to = 1, it would need to be written as  $\left(3x\right)^0$  .

 $\frac{x^3y^5}{x^2y^2}$  

•  $x^5y^7$  

•  $xy^3$  

•  $\frac{x}{y^3}$  

•  $x^6y^{10}$  

 $\left(-7x^4y^2\right)\left(-2x^3y\right)=$  

•  $-9x^7y^3$  

•  $-14x^{12}y^2$  

•  $14x^7y^3$  

•  $14x^{12}y^2$  

 $\left(x^{-10}\right)\left(x^3\right)\left(x^5\right)=$  

•  $\frac{1}{x^2}$  

•  $x^2$  

•  $x^{-150}$  

•  $\frac{1}{x^5}$  

 $\left(x^2y^3z\right)^4$  

•  $4x^8y^{12}z^4$  

•  $4x^2y^3z$  

•  $x^8y^{12}z^4$  

•  $x^6y^7z^5$  

Answer explanation

When you are raising a power to a power, you have to multiply the exponents.  Since there isn't a number in front of the x, there shouldn't be a number in front of the x in our answer  because there isn't a number to raise to the fourth power. 

 $\left(2x^3y^2z^5\right)^3$  

•  $6x^6y^5z^8$  

•  $8x^9y^6z^{15}$  

•  $6x^9y^6z^{15}$  

•  $8x^6y^5z^8$  

Answer explanation

 $2^3=2\times2\times2=8$  it is  not  $2\times3=6$   

 $\frac{x^4y^3z^2}{x^3yz^2}$  

•  $x^7y^4z^4$  

•  $xy^3$  

•  $xy^2z$  

•  $xy^2$  

 $\frac{\left(x^3y^2\right)^3}{x^2y^{10}}$  

•  $x^7y^4$  

•  $\frac{x^7}{y^4}$  

•  $\frac{x^3}{y^{24}}$  

•  $x^3y^{24}$