dividing monomials

Dividing Monomials (Quotient Rule)

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Quotient Rule

Multiple Choice

Using the quotient rule, what operation do we do to combine exponents

• Add

• Subtract

• Divide

• Multiply

Multiple Choice

$$\left(\frac{x^7}{x^5}\right)$$  =?

• 2x

• $$x^{12}$$  

• $$x^2$$  

• x

Multiple Choice

$$\left(\frac{p^7q^{16}}{p^4q^{12}}\right)$$  =?

• $$p^4q^3$$  

• 11p+28q

• $$p^3q^4$$  

• $$pq$$  

Multiple Choice

$$\left(\frac{14r^2s^2}{7rs}\right)$$  =?

• 2

• $$2r^2s^2$$  

• $$7rs$$  

• 2rs

Multiple Choice

$$\left(-\frac{36c^2d^5}{4c^2d^3}\right)$$  

• $$-9d^2$$  

• 9cd

• $$-4c^2d$$  

• $$-12cd^2$$  

Multiple Choice

Simplify: $$\frac{r^3s^6}{r^2s^2}$$  

• $$rs^4$$  

• $$r^2s^2$$  

• $$r^3s$$  

• $$r^4s^2$$  

Multiple Choice

Simplify: $$\frac{24c^{10}}{8c^3}$$  

• $$3c^{13}$$  

• $$3c^9$$  

• $$16c^7$$  

• $$3c^7$$  

Multiple Choice

Simplify: $$\frac{-36k^6}{4k^4}$$  

• $$-9k^8$$  

• $$-9k^2$$  

• $$-9k^{10}$$  

• $$-6k^5$$  

Multiple Choice

Simplify:   $$\frac{9h^6}{3h^3}$$  

• $$3h^9$$  

• $$3h^{3\ }$$  

• $$3h^{18}$$  

• $$h^{3\ }$$  

Multiple Choice

25x⁵/5x³

• 5x
• 5x⁸
• -5x²
• 5x²

Multiple Choice

Simplify the following expression.

$$\frac{8x^6}{2x^2}$$  

• $$4x^4$$  
  

• $$6x^4$$  

• $$4x^3$$  

• $$6x^3$$  

Multiple Choice

Simplify the following expression.

$$\frac{16a^2}{2a}$$  

• $$14a$$  
  

• $$8a$$  

• $$8a^2$$  

• $$14a^2$$  

Multiple Choice

Simplify.

$$\frac{9x^5}{3x^2}$$  

• $$6x^3$$  

• $$3x^3$$  

Fill in the Blanks

When dividing monomials with the same base, you

the exponents.