Dividing Indices Silver Quiz

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| By Anna Champion

Anna Champion

Community Contributor

Quizzes Created: 5 | Total Attempts: 1,188

| Attempts: 145

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1/15 Questions
- 3a
- A³
- 3a¹³
- 3a³

About This Quiz

This quiz focuses on dividing indices with the same base, testing understanding of exponent rules in algebra.

2.
- 7a⁷
- 7a⁴
- A⁴
- 7a¹⁰
Correct Answer

A. 7a⁴
3.
- 10a³
- 3a¹⁵
- 3a³
- 10a¹⁵
Correct Answer

A. 3a³
4.

When dividing indices with the same base you ________ the powers

Correct Answer
subtract

Explanation
When dividing indices with the same base, the powers are subtracted. This is because when dividing, the rule of indices states that the powers of the same base are subtracted from each other. For example, if we have x^a / x^b, where x is the base and a and b are the powers, we can rewrite it as x^(a-b). This rule helps simplify expressions and solve problems involving division of indices.

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5.
- 4q²
- 3q²
- 16q
- 3q
Correct Answer

A. 3q
6.
- 4a⁷
- 7a⁴
- 4a¹⁷
- 7a⁷
Correct Answer

A. 4a⁷
7.
- 4x¹¹
- 4x⁵
- 16x⁵
- 8x⁵
Correct Answer

A. 4x⁵
8.
- 9y⁸
- 12y²²
- 8y⁸
- 8y⁹
Correct Answer

A. 8y⁸
9.
- 12m
- 11m¹³
- 12m
- 11m
Correct Answer

A. 11m
10.
- Ab²⁴
- A⁴⁵b²¹
- Ab⁸
- A⁴b⁴
Correct Answer

A. A⁴b⁴
11.
- M⁴n⁴
- Mn⁸
- M²⁰n¹⁶
- Mn³⁶
Correct Answer

A. M⁴n⁴
12.
- A¹¹b⁴
- A⁷
- A⁷b
- Ab⁷
Correct Answer

A. A⁷
13.
- 4a¹⁵y
- 27a²y
- 4a²y
- 27a¹⁶y¹¹
Correct Answer

A. 4a²y
14.
- 3vw
- 3v⁵
- 3v⁵w
- 11vw
Correct Answer

A. 3v⁵
15.
- 8m³n⁸
- 8m^-3n⁸
- 8m⁹n¹²
- 8m²n⁵
Correct Answer

A. 8m^-3n⁸

Quiz Review Timeline (Updated): Mar 27, 2024 +

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Current Version
Mar 27, 2024

Quiz Edited by
ProProfs Editorial Team
Jul 20, 2019

Quiz Created by
Anna Champion

Dividing Indices Silver Quiz

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When dividing indices with the same base you ________ the powers