Test Your Understanding Of Exponents Quiz!

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Jcan117

Jcan117

Community Contributor

Quizzes Created: 1 | Total Attempts: 545

Questions: 10 | Attempts: 545 | Updated: Sep 6, 2024

Questions

Settings

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Play as

Quiz Flashcard

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

$Test Your Understanding Of Exponents Quiz! - Quiz$

In mathematics, use of exponents can be tricky to understand especially because they are written differently. It appears with a base number and it is a superscript. Test your understanding of exponents below. All the best!

Questions and Answers

1.

The exponents of exponential expressions with different bases can be added together.
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
The terms x^3 and y^4 cannot be combined into one term as there is no common base.

Rate this question:

0
1
2.

X ⁴ x ³ will result in an exponent of

Correct Answer
7
seven

Explanation
The expression x^4 x 3 is equivalent to x^(4+3), which simplifies to x^7. In other words, when you multiply x to the power of 4 by 3, you are effectively multiplying x by itself 4 times and then multiplying the result by x two more times. This results in x being multiplied by itself a total of 7 times, giving us x^7.

Rate this question:

0
4 1
3.

There is no fundemental mathematical truth for what 0 ⁰ is equal to
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The statement is true because in mathematics, division by zero is undefined. When dividing any number by zero, there is no meaningful result or value that can be assigned. Therefore, there is no fundamental mathematical truth for what 0 divided by 0 is equal to.

Rate this question:
4.

Any base raised to this power will equal one

Correct Answer
0
zero

Explanation
Any number raised to the power of zero equals one. Therefore, any base raised to the power of zero will also equal one.

Rate this question:

4
5.

The result of simplifying the expression (x ³ y ⁴ ) ³ is
- A.
  
  X^9 y^12
- B.
  
  (xy)^10
- C.
  
  Y
- D.
  
  (xy)^21
- E.
  
  X^6 y^7
Correct Answer
A. X^9 y^12

Explanation
Multiply the power of x by 3 from the outside of the expression to get x^9. Multiply the power of y by 3 from the outside to get y^12

Rate this question:
6.

If a number has no power written then the power is assumed to be
- A.
  
  0
- B.
  
  -1
- C.
  
  1
- D.
  
  None, it simply has no power
Correct Answer
C. 1

Explanation
All numbers without a power have an exponent of 1. Example 5 is the same as 5^1

Rate this question:
7.

All bases have an exponent
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
When a base has no exponent written it is assumed to be 1, thus all bases have an exponent even if none is written.

Rate this question:

1
0
8.

[(x ⁴ y ⁵) ^-3 - (x ⁵) ^-3/2] ⁰

Correct Answer
one
1

Explanation
The given expression is [(x^4 * y^5) - 3 - (x^5) - (3/2)] * 0. When any number is multiplied by 0, the result is always 0. Therefore, no matter what the values of x and y are, the entire expression will evaluate to 0. Hence, the answer is 0.

Rate this question:

0
4 1
9.

"Cross the line Change the sign" refers to simplifying what type of exponential expressions
- A.
  
  Power of a Power
- B.
  
  Product of Powers
- C.
  
  Quotient of Powers
- D.
  
  Negative exponents
- E.
  
  Zero Property
Correct Answer
D. Negative exponents

Explanation
"Cross the line Change the sign" refers to simplifying negative exponents. When we have a negative exponent, we can rewrite it as the reciprocal of the base raised to the positive exponent. For example, if we have 2^-3, we can rewrite it as 1/(2^3). This rule allows us to convert negative exponents into positive exponents, which makes calculations and simplifications easier.

Rate this question:

0
1
10.

Write an explination of why bases raised to the zero power are equal to 1

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Sep 06, 2024

Quiz Edited by
ProProfs Editorial Team
Sep 16, 2010

Quiz Created by
Jcan117

Test Your Understanding Of Exponents Quiz!

The exponents of exponential expressions with different bases can be added together.

X 4 x 3 will result in an exponent of

There is no fundemental mathematical truth for what 0 0 is equal to

Any base raised to this power will equal one

The result of simplifying the expression (x 3 y 4 ) 3 is

If a number has no power written then the power is assumed to be

All bases have an exponent

[(x 4 y 5) -3 - (x 5) -3/2] 0

"Cross the line Change the sign" refers to simplifying what type of exponential expressions

Write an explination of why bases raised to the zero power are equal to 1

X ⁴ x ³ will result in an exponent of

There is no fundemental mathematical truth for what 0 ⁰ is equal to

The result of simplifying the expression (x ³ y ⁴ ) ³ is

[(x ⁴ y ⁵) ^-3 - (x ⁵) ^-3/2] ⁰