G9-W4 (Introduction to Radicals)

Multiple Choice

Simplify: $$\left(m^3n^2\right)^2$$  

• $$mn^7$$  

• $$m^6n^4$$  

• $$m^5n^4$$  

• $$mn$$  

Multiple Choice

Simplify: $$\left(\frac{2a}{b}\right)^2$$  

• $$\frac{4a}{b}$$  

• $$\frac{4a^2}{b^2}$$  

• $$\frac{b^2}{4a^2}$$  

• $$2a^2b^2$$  

Multiple Choice

Simplify: $$\frac{8a^4}{4a^6}$$  

• $$\frac{2}{a^2}$$  

• $$2a^2$$  

• $$2a$$  

• $$\frac{1}{2a^2}$$  

Multiple Choice

Simplify: $$\left(\frac{6xy}{9x^2y^2}\right)^0$$  

• $$\frac{1}{2}$$  

• $$\frac{2}{3}$$  

• $$\frac{2}{3xy}$$  

• 1

Multiple Choice

Simplify: $$\frac{2y\ \cdot3y^2}{6y}$$  

• $$6y$$  

• y

• $$y^2$$  

• $$\frac{1}{y^2}$$  

Multiple Choice

Rewrite the expression in radical form: $$x^{\frac{2}{3}}$$  

• $$\sqrt[3]{x^2}$$  

• $$\sqrt[]{x^3}$$  

• $$\frac{1}{x}$$  

• $$\sqrt[3]{x}$$  

Multiple Choice

Write the radical in its exponential form: $$\sqrt[3]{x^7}$$  

• $$x^{\frac{7}{3}}$$  

• $$x^{\frac{3}{7}}$$  

• $$3x^7$$  

• $$7x^3$$  

Multiple Choice

Evaluate: $$8^{\frac{2}{3}}$$  

• 2

• 3

• 4

• 5

Multiple Choice

Evaluate: $$100^{\frac{-1}{2}}$$  

• 10

• 1000

• $$\frac{1}{1000}$$  

• $$\frac{1}{10}$$  

Multiple Choice

Simplify . Your answer should contain only positive exponents.  $$\left(x^0y^{\frac{1}{3}}\right)^{\frac{3}{2}}x^0$$  

• $$y^{\frac{1}{2}}$$  

• $$1$$  

• $$y^{\frac{4}{3}}$$  

• 0

Multiple Choice

For the given expression, what operation will you use on the exponents?

• M

• Addition

• Subtraction

• Nothing

Multiple Choice

For the given expression, what operation will you use on the exponents?

• Multiplication

• Addition

• Subtraction

• Nothing

Multiple Choice

Simplify the given expression.

• 4¹ = 4

• 4² = 16

• 4³ = 64

• 4^-1 = 1/4

Multiple Choice

Simplify the given expression.

• a

• a²

• a³

• a⁴