Exponents

Study guide

exponents and radicals

TASK 1

Review the rules for exponents & write on the notecard, see the next slide

Expressions with Exponents

Multiple Choice

Simplify the expression $$\left(x^5\right)\left(x^7\right)$$

• $$x^{35}$$

• $$x^{-2}$$

• $$x^{12}$$

• $$x^2$$

Multiple Choice

Simplify the expression $$\frac{4x^4y^7}{8x^2y^{10}}$$

• $$\frac{1x^6}{2y^3}$$

• $$\frac{2x^2}{y^3}$$

• $$2x^2y^3$$

• $$\frac{x^2}{2y^3}$$

Multiple Choice

Simplify the expression $$\left(3x^4y\right)^2$$

• $$6x^8y^2$$

• $$9x^8y^2$$

• $$6x^5y^2$$

• $$9x^6y^2$$

TASK 2

Complete Area Model Printed Paper

Expressions with Exponents

Multiple Select

select all equivalent area expressions for the square with sides $$3x^4$$

• $$6x^8$$

• $$\left(3x^4\right)\left(3x^4\right)$$

• $$\left(3x^4\right)^2$$

• $$9x^8$$

• $$12x^{16}$$

TASK 3

Review the fractional exponent rule (on your notecard)

Expressions with Radicals

Multiple Select

For the rational exponent expression $$25^{\frac{1}{2}}$$ select all equivalent expressions

• $$5^{\frac{1}{2}}$$

• $$5$$

• $$\sqrt[]{25}$$

• $$\sqrt[2]{5^2}$$

Multiple Choice

What is the equivalent radical expression given the fractional exponent $$x^{\frac{3}{4}}$$

• $$\sqrt[3]{x^4}$$

• $$3\sqrt[]{4x}$$

• $$\sqrt[4]{x^3}$$

Multiple Select

Choose the two equivalent radical expressions for $$7^{\frac{2}{3}}$$

• $$\sqrt[3]{7^2}$$

• $$\sqrt[2]{7^3}$$

• $$\sqrt[3]{49}$$

• $$2\sqrt[]{7^3}$$

TASK 4

Write the perfect square roots to 12 on your notecard

Expressions with Radicals

Multiple Choice

Simplify the radical $$\sqrt[]{250}$$

• $$10\sqrt[]{25}$$

• $$10\sqrt[]{5}$$

• $$25\sqrt[]{10}$$

• $$5\sqrt[]{10}$$

Multiple Choice

Simplify the algebraic radical expression $$\sqrt[]{52x^8}$$

• $$2x^8\sqrt[]{13}$$

• $$2x^4\sqrt[]{26}$$

• $$4x^4\sqrt[]{13}$$

• $$2x^4\sqrt[]{13}$$