Simplifying Algebraic Expressions

The video tutorial explains how to simplify the expression 28a^4b^6 over 7a^9b. It begins by breaking the expression into simpler parts, focusing on the coefficients and variables separately. The tutorial demonstrates how to simplify each term by dividing coefficients and subtracting exponents of like bases. It concludes by presenting the simplified expression in different forms, emphasizing that all are valid simplifications.

What is the first step in simplifying the expression 28a^4b^6 / 7a^9b?

• Combine all terms into a single fraction

• Add the exponents of 'a' and 'b'

• Break the expression into separate fractions

• Multiply the terms directly

What is the purpose of rewriting the expression as a product of three terms?

• To make it more complex

• To simplify each term separately

• To add more terms

• To change the expression

How do you simplify the numerical part of the expression 28/7?

• Multiply 28 by 7

• Add 28 and 7

• Subtract 7 from 28

• Divide 28 by 7

What is the result of simplifying 28 divided by 7?

• 4

• 2

• 5

• 3

How do you simplify a^4 / a^9?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents

What is the simplified form of a^4 / a^9?

• a^5

• a^-5

• a^13

• a^0

How do you simplify b^6 / b?

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

What is the simplified form of b^6 / b?

• b^6

• b^7

• b^1

• b^5

What is the final simplified form of the expression 28a^4b^6 / 7a^9b?

• 4b^5 / a^5

• 4a^5 / b^5

• 4a^4b^6

• 4a^9b

Which of the following is an alternative representation of 4b^5 / a^5?

• 4a^5b^5

• 4b^5a^5

• 4b^5 * a^5

• 4 / a^5 * b^5