Multiplying two rational expressions and then using the rules of exponents to simplify

Multiplying two rational expressions and then using the rules of exponents to simplify

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to multiply expressions using the rules of exponents. It begins by introducing the concept of multiplication without addition or subtraction, emphasizing the use of exponent rules. The teacher demonstrates how to group and rearrange terms for simplification, followed by simplifying fractions before multiplication. The tutorial continues with combining terms and simplifying expressions, and concludes with applying the quotient rule to finalize the expression. The final result is a simplified expression of 3X to the third, Y to the eighth, all over 4.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus when multiplying expressions without addition or subtraction?

Using the rules of subtraction

Finding the common denominator

Applying the rules of exponents

Using the rules of addition

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you simplify the fraction 16/64?

By dividing both by 4

By dividing both by 8

By adding 8 to both

By multiplying both by 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of reducing 9/3?

3/2

2/3

3/1

1/3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When combining exponents, what operation is used?

Addition

Subtraction

Multiplication

Division

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified expression of the given problem?

3X to the third, Y to the 8th, all over 4

3X to the third, Y to the ninth, all over 4

3X to the sixth, Y to the ninth, all over 4

3X to the sixth, Y to the eighth, all over 4