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Simplifying an expression with rational and negative exponents

Simplifying an expression with rational and negative exponents

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers the power to product and power to quotient rules, emphasizing the importance of not distributing exponents across addition or subtraction. It explains how to apply these rules correctly, highlights common mistakes, and demonstrates the multiplication of fractions and handling of negative powers. The tutorial aims to clarify these concepts for visual learners.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main caution when applying the power to product rule?

Always distribute across subtraction.

Always distribute across addition.

Do not distribute across addition or subtraction.

Do not distribute across multiplication.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a correct application of the power to product rule?

(X + 2)^2 = X^2 + 4

(X * Y)^2 = X^2 * Y^2

(X - Y)^2 = X^2 - Y^2

(X + Y)^2 = X^2 + Y^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method should be used to expand (X + 2)^2?

Distribute the exponent

Use the FOIL method

Add the exponents

Multiply the exponents

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert a negative exponent to a positive one?

Subtract one from the exponent

Multiply by zero

Add one to the exponent

Use the reciprocal

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of raising a fraction to a negative exponent?

The fraction remains unchanged

The fraction becomes zero

The fraction is doubled

The fraction is inverted

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