Properties of Exponents

Simplify the following:

(3x³y²) (8x⁴y⁶)

• 11x⁷y⁸

• 24x¹²y¹²

• 24x⁷y⁸

• 24x⁸¹y⁶⁴

Tags

CCSS.HSA.APR.A.1

 $\frac{\left(q^4\right)^{-3}}{q^{-15}}$  
Which of the following is equivalent to this expression for all values of q where the expression is defined?

•  $q^{27}$  

•  $\frac{1}{q^{27}}$  

•  $q^3$  

•  $\frac{1}{q^3}$  

Tags

CCSS.8.EE.A.1

The expression (x^-13) (x⁴)⁶ is equivalent to x^m. What is the value of m?

• m=11

• m=10

• m=24

• m=-11

Tags

CCSS.HSA.APR.A.1

One of the numerical expressions below is equivalent to (2^-5) (4²). Which one?

• $\frac{1}{2}$

• $\frac{1}{64}$

• $\frac{1}{4}$

• Not here

Tags

CCSS.6.EE.A.1

 $\frac{a^{-3}b^{-2}}{ab}$  
One of the expressions below is equivalent to the expression above.  Which one is it?

•  $a^2b$  

•  $\frac{1}{a^4b^3}$  

•  $\frac{1}{a^2b}$  

•  $\frac{1}{\left(ab\right)^7}$  

Tags

CCSS.8.EE.A.1

Which expression is equivalent to (x⁴y⁵) (x^-6) after it is simplified?

• $\frac{y^5}{x^2}$

• $\frac{y^5}{x^8}$

• $\frac{y^5}{x^{24}}$

• $\frac{\left(xy\right)^{20}}{x^6}$

Tags

CCSS.8.EE.A.1

Which expression (x⁴) (x⁷)³ is equivalent to x^m. What is the value of m?

• m=10

• m=21

• m=7

• m=25

Tags

CCSS.8.EE.A.1

 $\frac{3a^3b^4c}{6a^5b}$  
One of the algebraic expressions below is equivalent to the expression above after it is simplified.  Which expression is it?

•  $\frac{2b^3}{a^2}$  

•  $\frac{a^2b^3c}{2}$  

•  $\frac{b^5c}{2a^8}$  

•  $\frac{b^3c}{2a^2}$  

Tags

CCSS.HSA.APR.A.1