Product Rule of Exponents and Coefficients

Product Rule of Exponents and Coefficients

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to simplify expressions using the product rule of exponents. It begins with an introduction to the product rule, followed by examples using numerical exponents and variables. The tutorial also covers expressions with multiple variables and coefficients, and concludes with simplifying expressions involving fractions and exponents.

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27 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the basic principle of the product rule of exponents?

Add the exponents if the bases are the same.

Multiply the exponents and add the bases.

Add the bases and multiply the exponents.

Multiply the bases and add the exponents.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example 2^2 * 2^3, what is the simplified result using the product rule?

2^4

2^8

2^5

2^6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 2^2 * 2^3 according to the product rule?

16

32

8

64

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying x^2 and x^3, what is the resulting exponent?

x^5

x^6

x^4

x^3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be true for the product rule to apply?

The exponents must be different.

The bases must be different.

The exponents must be the same.

The bases must be the same.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying x^2 and x^3?

x^3

x^6

x^5

x^4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying x^2 and x^3?

x^5

x^3

x^6

x^4

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