Grade 8/ Math 3

Decide whether the expression has been simplified correctly
 $\left(ab\right)^{8\ }=\ ab^8$  

• Yes

• No

Apply the product rule for exponents, if possible.

 $\left(-3x^5y\right)\left(-4x^9y^2\right)$  

•   $12x^{45}y^2$  

•  $-12x^{45}y^2$  

•  $12x^{15}y^3$  

•  $12x^{14}y^3$  

Tags

CCSS.HSA.APR.A.1

Evaluate the expression  $10^0+\ 5^0$  

• 0

• 1

• 2

• 15

Tags

CCSS.8.EE.A.1

Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if necessary
 $5x^{-2}$  

•  $\frac{1}{5x^2}$  

•  $-10x$  

•  $\frac{5}{x^2}$  

•  $\frac{1}{25x^2}$  

Tags

CCSS.8.EE.A.1

Evaluate the expression. $\frac{5^{-4}}{6^{-3}}$  

•  $\frac{1296}{3125}$  

•  $\frac{216}{625}$  

•  $\frac{3125}{1296}$  

•  $\frac{625}{216}$  

Tags

CCSS.8.EE.A.1

Evaluate the expression.
 $\frac{1}{-3^{-3}}$  

• -9

• -27

• 9

• 27

Tags

CCSS.8.EE.A.1

Evaluate the expression.
 $\left(\frac{2}{7}\right)^{-3}$  

•  $-\frac{343}{8}$  

•  $\frac{8}{343}$  

•  $-\frac{8}{343}$  

•  $\frac{343}{8}$  

Tags

CCSS.8.EE.A.1

Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.

 $\frac{x^{-16}}{x^{-4}}$  

•  $\frac{1}{x^{12}}$  

•  $x^{12}$  

•  $\frac{1}{x^{20}}$  

•  $-x^{20}$  

Tags

CCSS.8.EE.A.1

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.
 $m^{-9}m^5m^{-1}$  

•  $\frac{1}{m^5}$  

•  $\frac{1}{m^4}$  

•  $m^7$  

•  $m^5$   

Tags

CCSS.8.EE.A.1

Write the expression using exponents.
 $-44\times-44\times-44\times-44$  

•  $\left(-\frac{1}{44}^{ }\right)^4$  

•  $-\frac{4}{44}$  

•  $-\frac{44}{4}$  

•  $-44^4$  

Tags

CCSS.8.EE.A.1