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Solving Equations with Fractional Exponents

Solving Equations with Fractional Exponents

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
6.EE.A.1, 8.EE.A.2

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.6.EE.A.1
,
CCSS.8.EE.A.2
The video tutorial explains how to solve equations involving variables raised to fractional powers. It begins by introducing the problem and discussing the relationship between radicals and rational exponents. The instructor demonstrates solving the equation by raising both sides to the reciprocal power, ensuring the variable is isolated. Alternative methods using radicals are also explored. The tutorial concludes with a detailed explanation of exponentiation and simplifying expressions, providing multiple approaches to reach the solution.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial problem presented in the video?

x cubed equals eight

x to the three halves equals eight

x squared equals eight

x to the one half equals eight

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the goal when solving the equation x to the three halves equals eight?

To get x to the fourth power

To get x to the first power

To get x to the second power

To get x to the third power

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of 3/2?

2/3

3/2

1/2

2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of raising both sides of the equation to the two-thirds power?

x to the first power

x to the second power

x to the third power

x to the fourth power

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 8 to the two-thirds power be rewritten as a radical expression?

Fourth root of 8 squared

Square root of 8 cubed

Cube root of 8 squared

Cube root of 8 cubed

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cube root of 64?

4

16

8

2

Tags

CCSS.8.EE.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is another way to solve the equation besides using radical expressions?

Using trigonometric functions

Using polynomial equations

Rewriting the base as an exponent

Using logarithms

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