5.1 Monomials

 $\left(\frac{1}{5}\right)^2$  

•  $\frac{2}{25}$  

•  $\frac{1}{25}$  

•  $\frac{1}{10}$  

• none of these

Tags

CCSS.6.EE.A.1

Simplify

 $x^2\cdot x^3$  

•  $x^5$  

•  $x^5$  

•  $x^{23}$   

•  $x^3$  
  

Answer explanation

Add the exponents

Tags

CCSS.HSA.APR.A.1

Simplify

 $x^2\cdot x\cdot x^6$  

•  $x^8$  

•  $x^9$  

•  $x^{12}$  

• none of these

Answer explanation

add the exponents (2 + 1 + 6 = 9)

Tags

CCSS.HSA.APR.A.1

Simplify

 $\left(m^2\right)^4$  

•  $m^6$  

•  $m^8$  

•  $m^{24}$  

• none of these

Answer explanation

Multiply the exponents

Tags

CCSS.HSA.APR.A.1

Simplify

 $\left(-3y\right)^3$  

•  $-27y^3$  

•  $-9y^3$  

•  $-6y^3$  

•  $27y^3$  

• none of these

Answer explanation

 $-3^3\cdot y^{3\ }=\ -27y^3$  

Simplify

 $\frac{n^5}{n^3}$  

•  $n^2$  

•  $n^8$  

•  $2n$  

•  $n^{53}$  
  

Answer explanation

Subtract the exponents (5-3 = 2)

Tags

CCSS.HSA.APR.A.1

Simplify

 $\frac{-x^6y^6}{x^3y^4}$  

•  $-x^3y^2$  

•  $x^2y^2$  

•  $-\frac{x^3}{y^2}$  

• none of these

Simplify

 $\frac{x^2}{x^6}$  

•  $\frac{1}{x^4}$  

•  $x^{26}$  

•  $x^{-4}$  

•  $x^8$  

Answer explanation

Subtract the exponents. Then, rewrite using positive exponent.

Tags

CCSS.HSA.APR.A.1

 $4^{-2}$  

•  $-4$  

•  $16$  

•  $\frac{1}{16}$  

•  $-\frac{1}{16}$  

Tags

CCSS.8.EE.A.1

Simplify

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

•  $a^2b$  

•  $ab^2$  

•  $a^4b^{-6}$  

• none of these

Answer explanation

Tags

CCSS.HSA.APR.A.1