Exponents

Simplify the expression:

(c⁴)(c³) =

• ^c12

• c¹

• c⁷

• c²

Name the rule that was used to simplify the following expression.

 $\left(2^2\right)^4=2^8$  

• Product Rule

• Power Rule

• Quotient Rule 

• Covid Rule

Simplify the expression:

 4^-2

• $\frac{1}{16}$
  

• -16

• $\frac{1}{4}$
  

• -42

Simplify the expression:

 $\frac{x^{14}}{x^2}$  

• x⁷

• x¹²

• x¹⁶

• x⁸

Simplify the expression:

 $\frac{a^2b^2}{a^3b^5}$  

•  $ab^3$  

•  $\frac{1}{ab^3}$  

•  $\frac{a^4}{b^8}$  

•  $\frac{a}{b^3}$  

Simplify the expression:

 $\frac{x^4y^7z^3}{x^3y^{10}z}$  

•  $\frac{xz^2}{y^3}$  

•  $xy^3z^3$  

•  $\frac{y^3}{xz^3}$  

•  $\frac{z^2}{xy^3}$  

Simplify the expression:

(2a²b⁴z)(6a³b²z⁵)

• 12a⁵b⁶z⁵

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

Simplify the expression:

(2m^-4)(5m²)

• 10m²

• $\frac{10}{m^2}$

• $\frac{10}{m^8}$
  

• $3m^8$
  

Simplify the expression:

(2x²y⁵)³(3xy)⁴

• 6x⁶y¹²

• 648x¹⁰y¹⁹

• 72x¹⁰y¹³

• 6x⁶y⁹

What is the value of -2⁴?

• 16

• -16

• -8

• 8