Simplify a rational expression with two variables

Simplify a rational expression with two variables

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial reviews a previous lesson on dividing expressions with exponents. It breaks down the problem into three parts: simplifying the fraction 12/16, applying the rules of exponents to x and y terms, and combining the results. The teacher explains how to simplify fractions by finding common factors and demonstrates the subtraction of exponents when dividing terms with the same base. The final simplified expression is presented as 3x^4y/4.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the problem of dividing 12 over 16?

Multiply both numbers by 2

Find a common divisor

Add the numbers together

Subtract the smaller number from the larger one

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which fraction is equivalent to 3/9 when simplified?

1/2

3/4

2/3

1/3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What common number can be divided out of 12 over 16 to simplify it?

2

5

3

4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dividing exponents with the same base, what operation is performed on the powers?

Add the powers

Divide the powers

Subtract the powers

Multiply the powers

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression 12/16 * x^8 / x^4 * y^5 / y^4?

3x^4y/4

3x^5y/4

3x^4y^2/4

3x^3y/4

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