Test your understanding of exponents quiz!

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Jcan117

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Quizzes Created: 1 | Total Attempts: 536

Questions: 10 | Attempts: 536 | Updated: Sep 6, 2024

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$Test Your Understanding Of Exponents Quiz! - Quiz$

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.

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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.

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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.

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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.

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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

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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

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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.

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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.

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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.

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1
10.

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

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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