Understanding Exponents and Simplification

Understanding Exponents and Simplification

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.A.1, HSA.APR.A.1, 6.EE.A.1

+1

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.8.EE.A.1
,
CCSS.HSA.APR.A.1
,
CCSS.6.EE.A.1
CCSS.7.EE.B.3
,
The video tutorial explains how to simplify expressions using two methods. The first method involves rewriting expressions with positive exponents and applying the negative exponent rule. The second method uses the power property of exponents. Both methods are demonstrated with examples, showing how to evaluate powers and simplify quotients. The tutorial emphasizes understanding both methods for effective simplification.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of the video tutorial?

To understand the properties of logarithms

To simplify a given expression using two methods

To explore the concept of limits in calculus

To learn how to solve quadratic equations

Tags

CCSS.8.EE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule is used to convert negative exponents to positive exponents?

Negative Exponent Rule

Zero Exponent Rule

Product of Powers Rule

Quotient of Powers Rule

Tags

CCSS.8.EE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first method, what happens to the base when the exponent changes from negative to positive?

The base is multiplied by itself

The base remains unchanged

The base is moved to the denominator

The base is squared

Tags

CCSS.8.EE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the power property of exponents?

Exponents are added

Exponents are multiplied

Exponents are divided

Exponents are subtracted

Tags

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression 64x^12 / 8x^6 simplified?

64x^18

64x^6

8x^18

8x^6

Tags

CCSS.8.EE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the second method?

Dividing the coefficients

Applying the quotient property

Clearing the parentheses

Adding exponents

Tags

CCSS.8.EE.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second method, how is 2^-3 rewritten?

2^6

2^0

1/2^3

2^3

Tags

CCSS.HSA.APR.A.1

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