Multiplying Powers with Same Base

Multiplying Powers with Same Base

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the product of powers rule in mathematics. It begins with a review of basic exponent rules, illustrating how to multiply a number by itself multiple times. The tutorial then introduces the product of powers rule, demonstrating through examples that when multiplying like bases, the exponents are added, not multiplied. The video provides detailed examples, such as multiplying y^2 by y^3, to show that the result is y^5, not y^6. Finally, the rule is generalized using variables, showing that x^A multiplied by x^B equals x^(A+B).

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15 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in this video?

The subtraction of powers rule

The division of powers rule

The product of powers rule

The sum of powers rule

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does x^3 mean in terms of multiplication?

x + x + x

x * x * x

3 * x

x^2 + x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 3^2 be expressed using multiplication?

3^2 + 3

3^3

3 * 3

3 + 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common mistake when multiplying y^2 by y^3?

Thinking the result is y^6

Thinking the result is y^3

Thinking the result is y^5

Thinking the result is y^2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct result of y^2 * y^3?

y^6

y^5

y^3

y^2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times is y multiplied by itself in y^2 * y^3?

6 times

5 times

3 times

2 times

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation do we perform on the exponents when multiplying powers with the same base?

Subtract them

Divide them

Multiply them

Add them

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