Simplifying expressions using the rules of exponents, quotient property

The video tutorial explains how to handle a mathematical problem involving multiple variables and exponents. It guides through the process of subtracting exponents, especially focusing on the careful handling of negative exponents. The tutorial emphasizes the importance of being cautious with calculations and demonstrates the simplification process step by step, leading to the final answer. The video concludes with a note that similar problems can be solved using the same method.

What is the first step when dividing variables with exponents?

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

• Add the exponents

How do you handle a negative exponent when simplifying an expression?

• Ignore it

• Convert it to a positive by moving it to the denominator

• Leave it as is

• Add it to the numerator

What is the result of simplifying x^5 / x^1?

• x^1

• x^5

• x^4

• x^6

In the expression y^4 / y^(-3), what is the simplified form?

• y^(-1)

• y^(-7)

• y^7

• y^1

What is the final simplified form of the expression x^4 y^7 / (m n^5)?

• x^4 y^7 m n^5

• x^4 y^7 / m n^5

• x^4 y^7 m / n^5

• x^4 y^7 n^5 / m