Zero and Negative Exponents

Zero and Negative Exponents

Prepared by: Aaliyah Bianca M. Bustos

Multiple Choice

a^m ⋅ aⁿ = a^{m + n}

• Product of Powers

• Power of Quotient

• Power of a Power

Multiple Choice

(ab)^m = a^mb^m

• Quotient of Powers

• Power of a Product

• Power of a Power

Multiple Choice

$$\frac{a^m}{a^m}\ =\ a^{m-n}$$

• Product of a Quotient

• Quotient of Powers

• Power of a Power

Multiple Choice

(a^m)ⁿ = a^mn

• Product of a Quotient

• Quotient of Powers

• Power of a Power

Multiple Choice

$$\left(\frac{a}{b}\right)^m\ =\ \left(\frac{a^m}{b^m}\right)$$

• Power of a Quotient

• Quotient of Powers

• Product of a Quotient

Learning Objectives

• Identify the properties of zero and negative exponents.

• Apply the laws of positive integral exponents to zero and negative integral exponents.

• Simplify expressions involving zero and negative exponents.

Math Celebrity

Through a poll, students will answer a step by step process of solving the given problem.

Take note that students should carefully choose their answer to arrive at the correct answer.

Poll

3⁰ x 5³ x 2² = ?

1st step: what is 3⁰?

• 1

• 3

• 0

Poll

3⁰ x 5³ x 2² = ?

2nd step: what is 5³?

• 8

• 15

• 125

Poll

3⁰ x 5³ x 2² = ?

3rd step: what is 2²?

• 4

• 2

• 22

Multiple Choice

Solve the problem using the answers that you got from the poll.

3⁰ x 5³ x 2² = ?

• 500

• 127

• 258

1. Richter Scale

2. Computer Games

3. Mobile Games

Real-Life Applications

Map

01

Group 1 and 2

Zero Exponents

Zero Exponents

Zero Exponents

= a^3-3
= a⁰
= 1

ZERO EXPONENTS

Bingo

• Create a 4x4 bingo card on a paper.
  

• Write possible answers from 1-20. Math problems will be presented to the class and whoever has that answer on their bingo card must cross out the number.
  

• The first one to make a horizontal/vertical/diagonal line is the winner.

Multiple Choice

$$3^7\ \times3^{-6}$$

• 3

• 2187

• 729

Multiple Choice

$$39\ \div\ 3$$

• 36

• 13

• 31

Multiple Choice

$$11^0\ \times\ 11^{-10}$$

• 110

• 11

• 1110

Multiple Choice

$$3\ \times\ 2$$

• 1

• 5

• 6

Multiple Choice

$$48\ \div\ 3$$

• 16

• 51

• 45

Multiple Choice

$$825^0\ +\ 1$$

• 826

• 0

• 2

Multiple Choice

$$2^2\ \times\ 3$$

• 12

• 7

• 6

Multiple Choice

$$2^2\ \times\ 3$$

• 12

• 7

• 6

Multiple Choice

$$\left(4^3\ -\ 56\right)\ +\ 10$$

• 18

• 8

• -34

Multiple Choice

$$10\ -\ 3$$

• -7

• 13

• 7

Multiple Choice

$$16\ +\ 7^0$$

• 23

• 17

• 16

Negative Exponents

Zero Exponents

Zero Exponents

Individual Activity

Instructions: Arrange the problem in order.

2.

Bumblebee Bat

A Bumblebee Bat weighs 7 x 10^-2 ounces.

​​Dragonfly

A Dragonfly weighs 1 x 10^-4 ounces.

Zoologists use negative exponents to represent the measurement of body parts of small creatures.

Oral Activity

Quiz

Instructions: On a 1/2 sheet of paper, answer the following
for 5 minutes.

Open Ended

Simplify the following:

$$\left(\frac{3}{5}\right)^0$$

Open Ended

Simplify the following:

$$\frac{7x^{-3}}{x^{-7}}$$

Open Ended

Simplify the following:

$$\left(\frac{1}{5}\right)^2\ \times\ \frac{2^{-3}}{4^2}$$

Open Ended

How will you write number 1 as 100 to a power?

Open Ended

Is $$-3x^0$$ the same as $$\left(-3x\right)^0$$ ? Explain and simplify the given expressions.

Assignment

Thank You

Prepared by: Ms. Aaliyah Bianca M. Bustos