Product Rule and Quotient Rule

Math 7/8 Product, Power, & Quotient Rule Practice

Simplify each expression using the Product Rule, Power Rule or the Quotient Rule.

The Product Rule

-Add Exponents on Like Bases

-Multiply Coefficiencts

The Quotient Rule

-Subtract Exponents on Like Bases

-Divide or Reduce Coefficients

The Power Rule

-Multiply each exponent inside parenthesis by the exponent outside parenthesis.

Multiple Choice

What's the rule?

• Product

• Power

• Quotient

Multiple Choice

What's the rule?

• Product

• Power

• Quotient

Multiple Choice

What's the rule?

• Product

• Power

• Quotient

Multiple Choice

What's the rule?

• Product

• Power

• Quotient

Multiple Choice

What's the rule?

• Product

• Power

• Quotient

Multiple Choice

What's the rule?

• Product

• Power

• Quotient

Multiple Choice

Simplify

• $$y^{13}$$

• $$y^5$$

• $$y^2$$

Multiple Choice

Simplify

• $$3n^{10}$$

• $$4n^{10}$$

• $$3n^{21}$$

Multiple Choice

Simplify

• $$y^9$$

• $$y^{14}$$

• $$y^5$$

Multiple Choice

Simplify

• $$t^8$$

• $$t^{18}$$

• $$t^3$$

Multiple Choice

Simplify

• $$s^3$$

• $$s^{25}$$

• $$s^{11}$$

Multiple Choice

Simplify

• $$t^5$$

• $$t^{13}$$

• $$t^{36}$$

Multiple Choice

Simplify

• $$x^{17}$$

• $$x^{42}$$

• $$x^{11}$$

Multiple Choice

Simplify

• $$8^4$$

• $$1^4$$

• $$16^{10}$$

Multiple Choice

Simplify

• $$3n^{10}$$

• $$4n^{10}$$

• $$3n^{21}$$

Multiple Choice

Simplify

• $$2r^5$$

• $$6r^5$$

• $$18r^9$$

Multiple Choice

Simplify

• $$a^{48}b^{42}$$

• $$a^{14}b^{13}$$

• $$a^2b^{ }$$

Multiple Choice

Simplify

• $$21p^{30}$$

• $$10p^{11}$$

• $$21p^{11}$$

Multiple Choice

Simplify

• $$35a^{18}$$

• $$21a^6$$

• $$4a^6$$

Multiple Choice

Simplify

• $$-1r^{15}$$

• $$-20r^{15}$$

• $$-20r^{54}$$

Multiple Choice

Simplify

• $$11a^3$$

• $$30a^3$$

• $$99a^7$$

Multiple Choice

Simplify

• $$rs$$

• $$r^{20}s^{30}$$

• $$r^9s^{11}$$

Multiple Choice

Simplify

• $$a^{10}b^{19}$$

• $$a^4b^{15}$$

• $$a^{21}b^{34}$$

Multiple Choice

• $$512t^{24}$$

• $$24t^{24}$$

• $$11t^{11}$$

Multiple Choice

Simplify

• $$t^8u^6$$

• $$u^5t^7$$

• $$ut^{35}$$

Multiple Choice

Simplify

• $$12r^{13}$$

• $$35r^{40}$$

• $$16807r^{40}$$

Multiple Choice

Simplify

• $$t^{43}u^{33}$$

• $$t^{21}u^{12}$$

• $$t^{22}u^{11}$$

Multiple Choice

Simplify

• $$9c^2d^9$$

• $$8c^3d^9$$

• $$8c^2d^{18}$$

Multiple Choice

Simplify

• $$30t^6u^4$$

• $$3t^5u^4$$

• $$\frac{1t^5u^4}{3}$$

Multiple Choice

Simplify

• $$14x^{10}y^{10}$$

• $$12^2x^{16}y^{16}$$

• $$24x^{16}y^{16}$$

Multiple Choice

Simplify

• $$30c^8d^8$$

• $$11c^8d^8$$

• $$30c^{12}d^{15}$$

Multiple Choice

Simplify

• $$\frac{5}{y^3x^4}$$

• $$5y^3x^4$$

• $$\frac{5x^4}{y^3}$$

Multiple Choice

• $$512m^{45}n^{54}$$

• $$18m^{45}n^{54}$$

• $$11m^{14}n^{15}$$

Multiple Choice

Simplify

• $$54x^{10}y^{10}$$

• $$3x^{10}y^{10}$$

• $$54x^{36}y^{14}$$

Multiple Choice

Simplify

• $$10m^{10}n^{11}p^{17}$$

• $$21m^{21}n^{28}p^{70}$$

• $$2187m^{21}n^{28}p^{70}$$

Multiple Choice

Simplify

• $$\frac{6t^5u^9}{7}$$

• $$-8t^5u^9$$

• $$\frac{6t^5u^5}{7}$$

Multiple Choice

Simplify

• $$11q^{60}r^4s^8$$

• $$2401q^{60}r^4s^8$$

• $$28q^{60}rs^8$$

Multiple Choice

Simplify

• $$\frac{16x^2y^2}{3}$$

• $$\frac{1}{6xy^3}$$

• $$\frac{8}{3x^2y}$$

Multiple Choice

Simplify

• $$-2b^5a^{12}$$

• $$4a^{10}b^8$$

• $$8b^7a^{12}$$

Multiple Choice

Simplify

• $$-4m^2$$

• $$\frac{m^5}{2}$$

• $$-\frac{2}{m^3}$$

Multiple Choice

Simplify

• $$\frac{1}{r^2}$$

• $$-r^5$$

• $$\frac{1}{3r^6}$$

Multiple Choice

Simplify

• $$-8x^{17}$$

• $$-2x^{10}$$

• $$-16x^7$$

Multiple Choice

Simplify

• $$-p^2$$

• $$p^6$$

• $$-p^7$$

Multiple Choice

Simplify

• $$-x^9$$

• $$\frac{x^2}{4}$$

• $$\frac{2}{x^5}$$

Multiple Choice

Simplify

• $$4b$$

• $$2b^5$$

• $$\frac{2}{b^{17}}$$

Multiple Choice

Simplify

• $$256y^{24}x^{52}$$

• $$16x^9y^{10}$$

• $$\frac{1}{x^3y}$$