What is the quotient of powers of exponents

What is the quotient of powers of exponents

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to divide terms with exponents using the quotient rule. It starts with a general explanation and then provides a concrete example using real numbers, specifically 2^3 divided by 2^2. The tutorial emphasizes the importance of having the same base when applying the quotient rule, which involves subtracting the exponents. It also illustrates the concept by breaking down the multiplication of numbers and how they cancel out when divided by themselves. The video concludes with a brief mention of handling different bases, although the focus remains on terms with the same base.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing X^A by X^B?

X^(A/B)

X^(A*B)

X^(A-B)

X^(A+B)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example 2^3 / 2^2, what is the resulting exponent after applying the quotient rule?

2

1

3

0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the numerical result of 2^3 divided by 2^2?

8

1

2

4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dividing like bases, what operation is performed on the exponents?

Addition

Subtraction

Multiplication

Division

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you divide a term by itself?

It becomes zero

It becomes one

It doubles

It halves