Zero and Negative Exponents

Presentation

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

6.NS.B.3, 8.EE.A.1, 6.EE.A.1

Standards-aligned

Aaliyah Bianca Bustos

FREE Resource

21 Slides • 25 Questions

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?

Poll

3⁰ x 5³ x 2² = ?

2nd step: what is 5³?

125

Poll

3⁰ x 5³ x 2² = ?

3rd step: what is 2²?

Multiple Choice

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

3⁰ x 5³ x 2² = ?

500

127

258

Richter Scale
Computer Games
Mobile Games

Real-Life Applications

Map

Group 1 and 2

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

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

2187

729

Multiple Choice

$39\ \div\ 3$

Multiple Choice

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

110

1110

Multiple Choice

$3\ \times\ 2$

Multiple Choice

$48\ \div\ 3$

Multiple Choice

$825^0\ +\ 1$

826

Multiple Choice

$2^2\ \times\ 3$

Multiple Choice

$2^2\ \times\ 3$

Multiple Choice

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

-34

Multiple Choice

$10\ -\ 3$

-7

Multiple Choice

$16\ +\ 7^0$

Negative Exponents

Zero Exponents

Individual Activity

Instructions: Arrange the problem in order.

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:

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

Type response here

Open Ended

Simplify the following:

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

Type response here

Open Ended

Simplify the following:

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

Type response here

Open Ended

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

Type response here

Open Ended

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

Type response here

Assignment

Thank You

Prepared by: Ms. Aaliyah Bianca M. Bustos

Zero and Negative Exponents

Prepared by: Aaliyah Bianca M. Bustos

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