Exploring Exponents (Part 1)

Exploring Exponents
(Part 1)
February 19, 2025

If you do not have this paper or a pencil to write with, please get those things before you begin!

​Let's review a little first!

Multiple Choice

What is the name of the BIG number?

• Base

• Exponent

Multiple Choice

What is the name of the tiny number?

• exponent

• base

Multiple Choice

5 x 5 x 5

What is this form called?

• Expanded Form

• Exponential Form

Multiple Choice

7 x 7 x 7

How is this written in exponential form?

• 7³

• 3⁷

Multiple Choice

What is 4⁵ in expanded form?

• 5 x 5 x 5 x 5

• 4 x 4 x 4 x 4

• 5 x 5 x 5 x 5 x 5

• 4 x 4 x 4 x 4 x 4

For the following activity on Multiplying and Dividing Powers, make sure you are writing the information down on your paper as you go, in addition to answering any questions in the Quizizz Lesson.

​PLEASE PAUSE HERE AND COMPLETE THE FIRST TABLE.

Multiple Choice

Which of the following was the final form for $$7^4\cdot7^1$$

• $$7^4$$

• $$7^1$$

• $$7^5$$

• $$7^3$$

Multiple Choice

Which of the following was the final form for $$3^2\cdot3^3\cdot3^1$$

• $$3^5$$

• $$3^6$$

• $$3^7$$

• $$3^4$$

Multiple Choice

Which of the following was the final form for $$x^6\cdot x^3$$

• $$x^9$$

• $$x^{18}$$

• $$x^3$$

• $$x^2$$

Multiple Choice

$$5^5\cdot5^6=$$

• $$25^{11}$$

• $$25^{30}$$

• $$5^{11}$$

• $$5^{30}$$

Multiple Choice

$$x^{10}\cdot x^{30}=$$

• $$x^{30}$$

• $$x^{40}$$

• $$x^{20}$$

• $$2x^{40}$$

Multiple Choice

$$10^7\cdot10^8\cdot10^{10}=$$

• $$10^{15}$$

• $$100^{25}$$

• $$1000^{15}$$

• $$10^{25}$$

Multiple Choice

$$n^9\cdot n^6\cdot n^3=$$

• $$3n^3$$

• $$n^{45}$$

• $$n^{18}$$

• $$n^{12}$$

Multiple Choice

Which of the following statements about multiplying powers with the same base is correct?

• To multiply powers with the same base:

  Keep the base the same and add the exponents.

• To multiply powers with the same base:

  Keep the base the same and multiply the exponents.

• To multiply powers with the same base:

  Multiply the bases and exponents together.

• To multiply powers with the same base:

  Multiply the bases together and add the exponents.

​PLEASE PAUSE HERE AND COMPLETE THE SECOND TABLE.

Multiple Choice

What is the final form for $$\frac{x^4}{x^3}$$ ?

• $$x^7$$

• $$x^1$$

• $$x^{12}$$

• $$2x$$

Multiple Choice

What is the final form for $$\frac{8^5}{8^2}$$ ?

• $$8^7$$

• $$8^3$$

• $$8^{10}$$

• $$7x$$

Multiple Choice

What is the final form for $$\frac{y^3}{y^1}$$ ?

• $$y^3$$

• $$3y^{ }$$

• $$y^2$$

• $$2y$$

Multiple Choice

$$\frac{12^9}{12^7}=$$

• $$12^{16}$$

• $$12^2$$

• $$12^{63}$$

• $$24^2$$

Multiple Choice

$$\frac{x^{10}}{x^5}=$$

• $$x^{15}$$

• $$x^5$$

• $$x^3$$

• $$5x$$

Multiple Choice

$$\frac{90^{50}}{90^{22}}=$$

• $$90^{28}$$

• $$90^{90}$$

• $$90^{72}$$

• $$90^{32}$$

Multiple Choice

Which of the following statements about dividing powers with the same base is correct?

• To divide powers with the same base:

  Keep the base the same and add the exponents.

• To divide powers with the same base:

  Keep the base the same and subtract the exponents.

• To divide powers with the same base:

  Divide the bases and exponents together.

• To multiply powers with the same base:

  Divide the bases together and subtract the exponents.

Multiple Choice

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

• 5⁷
• 5⁶
• 7⁵
• 5

Multiple Choice

Simplify the expression:

$$\frac{9^7}{9^2}$$

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Multiple Choice

Simplify the expression:
$$b^2\cdot b^4$$

• b⁸
• b⁶
• b²
• 2b⁶

Multiple Choice

Simplify the expression:

$$n^2\cdot n^4\cdot n^5$$

• n¹¹
• n⁴⁰
• n¹³
• n²²

Multiple Choice

Simplify the expression:

$$a^2\cdot a^4$$  

• $$a^6$$  

• $$a^8$$  

• $$a^2$$  

• $$a^{24}$$