Unit 2.3 (Exponent Laws and Algebraic Expressions

​Unit 2.3
Applying Exponent Laws to Generate Equivalent Algebraic Expressions

Multiple Choice

Simplify.

• $$-2h^{-4}$$

• $$20h^{-4}$$

• $$4h^4$$

• $$4h^{-4}$$

Multiple Choice

What is the domain restriction for the following expression?

• $$h\ne10$$

• $$h\ne1$$

• $$h\ne-1$$

• $$h\ne0$$

Multiple Choice

Simplify...

• $$\frac{6c^7}{-48c^5}$$

• $$\frac{-6c^{17}}{64c^9}$$

• $$\frac{c^4}{64}$$

• $$-\frac{c^5}{64c^{10}}$$

Multiple Choice

Simplify...

• $$\frac{6}{r^2y^3}$$

• $$6r^2y^3$$

• $$\frac{15r^3y^5}{6}$$

• $$-15r^6y^8$$

Open Ended

This may sound strange, but $$3^{2x+4\ }$$ is equal to $$81\left(9\right)^x$$ . What do you notice about the two expressions? Do you have any inkling where the numbers 81 and 9 might come from?

Multiple Choice

Which expression is equivalent to: $$4^{\left(x-2\right)}$$

• $$\frac{4^x}{16}$$

• 4x - 2

• $$\frac{4^x}{8}$$

• $$\frac{16^x}{4x}$$

Math Response

Write an equivalent expression to...

Type answer here

Correct Answer: \left(-3.1\right)^{\left(6x+7\right)}

Deg^°

Rad

Multiple Choice

Which expression is equivalent to: $$3^{\left(2t\ +3\right)}$$

• 9t + 27

• $$9^t+27$$

• $$27\left(9\right)^t$$

• $$9\left(6\right)^t$$

Draw

Brain Break: Draw your Favorite Animal!

Lightning Round!
Most of these are mental math, but some might require some work...

Multiple Choice

• a^-3

• a³

• 3a

• 1/a^-3

Multiple Choice

• a⁸

• a¹⁵

• a³⁵

• a^-2

Multiple Choice

• a⁶b⁴

• a⁸b

• a⁸b⁴

• a²b⁴

Multiple Select

Multiple Choice

• a⁶

• a^-60

• a⁴

• a^-7

Multiple Choice

Multiple Choice

• 0

• 1

• 3

• 31

Multiple Choice

Multiple Choice

Multiple Choice