PERFORMANCE TASK 4

ONLINE SEATWORK 1

ZERO AND NEGATIVE EXPONENTS

Open Ended

LAST NAME

Open Ended

FIRST NAME

Poll

SECTION

• GREGORIO del PILAR

• VITO BELARMINO

• ANDRES BONIFACIO

LEARNING COMPETENCY

The learner applies the laws involving positive integral exponents to zero and negative integral exponents.

INTRODUCTION

DEVELOPMENT

Multiple Choice

Based on your observation, what will be the value of the following: 

$$2^{-4}$$    = ?

• 8

• 16

• $$\frac{1}{16}$$  

• $$\frac{1}{8}$$  

Multiple Choice

$$2^{-5}$$  =?

• $$\frac{1}{32}$$  

• 32

• 10

REMEMBER

Multiple Choice

 $2^{-6}$  =?

• 12

• 64

•  $\frac{1}{64}$  

Multiple Choice

$$3^{-4}$$  =?

• 12

• 81

• $$\frac{1}{81}$$  

REMEMBER

Zero-Exponent Rule: 

a⁰ = 1, this says that anything raised to the zero power is 1

Multiple Choice

12⁰

• 1

• 12

Multiple Choice

X⁰

• 1

• X

Multiple Choice

3x⁰

• 3

• 1

Multiple Choice

x²y⁰z²

• 1

• x²z²

Multiple Choice

$$\left(x^2y^4\right)^0$$  

• 1

• $$x^2y^4$$  

Multiple Choice

$$\left(x^0y^2\right)^3$$  

• $$y^6$$  

• 1

Negative Exponent 

Rule: , this says that negative exponents in the numerator get moved to the denominator and become positive exponents.

Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents.

Multiple Choice

$$3^{-1}$$  

• 3

• $$\frac{1}{3}$$  

Multiple Choice

$$\frac{1}{3^{-1}}$$  

• 3

• $$\frac{1}{3}$$  

Multiple Choice

$$a^{-2}b^3c^{-4}$$  

• $$\frac{a^2c^4}{b^3}$$  

• $$\frac{b^3}{a^2c^4}$$  

Performance task

Express the following expression into non zero and non negative exponents. Simplify your answer.

Multiple Choice

6^-1

• $$\frac{1}{6}$$

• 6

• -6

Multiple Choice

1001⁰

• 0

• 1

• 1001

Multiple Choice

(3x²y³)⁰

• 3xy

• 1

• 3x²y³

Multiple Choice

$$x^{-12}$$  

• $$12x$$  

• $$\frac{1}{x^{12}}$$  

• $$\frac{1}{x^{-12}}$$  

Multiple Choice

$$\left(x^2\right)^{-3}$$  

• $$x^6$$  

• $$\frac{1}{x^6}$$  

• $$x^2$$  

• $$\frac{1}{x^2}$$  

Multiple Choice

$$\frac{x^{-3}}{y^{-7}}$$  

• $$\frac{x^3}{y^7}$$  

• $$\frac{y^7}{x^3}$$  

• $$x^3y^7$$  

Multiple Choice

$$\frac{5}{x^{-3}}$$  

• $$\frac{x^3}{5}$$  

• $$5x^3$$  

• $$\frac{x^3}{15}$$  

Multiple Choice

$$\frac{x^{12}y^{10}}{x^{10}y^{15}}$$  

• $$x^2y^5$$  

• $$\frac{x^2}{y^5}$$  

Multiple Choice

$$\left(\frac{x^3y^7}{x^{10}y^3}\right)^0$$  

• 1

• $$\frac{y^4}{x^3}$$  

Multiple Choice

$$x^{-12}$$  

• $$12x$$  

• $$\frac{1}{x^{12}}$$  

• $$\frac{1}{x^{-12}}$$