Multiply and Divide Exponents with the Same Base

2.2 Part 2: Multiplying and Dividing Exponents

EQ: How do you simplify exponents using multiplication and division?

Multiple Choice

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide

Multiple Choice

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add
• subtract
• multiply
• divide

Multiple Choice

3⁴ ⋅ 3⁷

• 3²⁸

• 3³

• 3^-3

• 3¹¹

Multiple Choice

$$d^4\cdot d^5$$  

• 2d⁴

• d⁹

• d²

• 2d

Multiple Choice

• x⁴
• x⁸
• x¹²
• x²⁰

Multiple Choice

  $$\frac{9h^6}{3h^3}$$  

• $$3h^9$$  

• $$3h^{3\ }$$  

• $$3h^{18}$$  

• $$h^{3\ }$$  

Multiple Choice

$$2n^4\cdot^{ }\ 5n^4$$  

• $$7n^4$$  

• $$10n^4$$  

• $$10n^8$$  

• $$h^{3\ }$$  

Multiple Choice

$$6r\cdot5r^2$$  

• $$30r^3$$  

• $$11r^3$$  

• $$30r^2$$  

Multiple Choice

$$\frac{-18x^3y^{-9}}{3x^2y^2}$$  

• $$\frac{6x}{y^{11}}$$  

• $$-\frac{6}{xy^{11}}$$  

• $$-\frac{6x}{y^{11}}$$  

• $$-\frac{6x}{y^7}$$  

Multiple Choice

$$\frac{27w^{10}}{3w^5}$$  

• $$9w^2$$  

• $$9w^5$$  

• $$24w^2$$  

• $$24w^5$$  

Multiple Choice

$$\frac{x^{10}y^{10}z^{10}}{x^3y^2z}$$  

• $$x^{13}y^{12}z^{11}$$  

• $$\frac{1}{x^7y^8z^9}$$  

• $$x^7y^8z^9$$  

• $$\frac{1}{x^{13}y^{12}z^{11}}$$  

Multiple Choice

$$\frac{m^3\cdot m^5}{m^2}$$  Simplify the rational expression

• $$1$$  

• $$m^4$$  

• $$m^5$$  

• $$m^6$$  

Multiple Choice

$$\frac{7n^5m^{-2}}{14n^{-2}m^4}$$  Simplify the rational expression. Use positive exponents.

• $$2n^3m^2$$  

• $$\frac{7nm^3}{14mn^2}$$  

• $$\frac{n^3}{2m^2}$$  

• $$\frac{n^7}{2m^6}$$  

Multiple Choice

• 2x⁴y⁴

• 2