Exploring Negative Exponents and Division Rules

In this video tutorial, Miss Smith explains two key laws of exponents: the negative exponent rule and the dividing exponents rule. She provides clear examples to illustrate each rule, emphasizing the importance of converting negative exponents to positive ones and subtracting exponents when dividing. The tutorial aims to simplify these concepts for better understanding and application in math problems.

What does the 'cross the line, change the sign' rule help you remember?

• How to add fractions

• How to multiply exponents

• How to divide whole numbers

• How to simplify negative exponents

If you have x to the power of -2, how would you simplify it using the negative exponent rule?

• -2x

• 2/x

• 1/x^2

• x^2

When simplifying expressions with negative exponents, what should the final version always have?

• No exponents

• Whole numbers only

• Positive exponents

• Negative exponents

In the expression 5^3/x^-8, where does x^8 move after applying the negative exponent rule?

• It stays at the bottom

• It moves to the top

• It is eliminated

• It becomes x^3

What is the result of simplifying the expression x^-2 over -5?

• 1/x^2 over -5

• 1/x^2 over 5

• -5x^2

• x^2 over -5

What is the simplified form of 6x^4y^2 over 3x^3y?

• 2x^1y^1

• 2xy

• 18x^7y^3

• 2x^7y^3

When dividing exponents with the same base, what operation do you perform with the exponents?

• Multiply

• Divide

• Subtract

• Add

If you have 24x^5y^2 over 48x^2y^5, what is the exponent of x in the simplified expression?

• 5

• 2

• 7

• 3

How do you handle a negative exponent in the final answer of a division problem?

• Change it to a positive exponent

• Leave it as is

• Multiply it by -1

• Eliminate the variable

In the expression 24x^5y^2 over 48x^2y^5, what happens to the y exponent in the simplified form?

• It becomes y^7

• It stays y^2

• It becomes y^-3

• It becomes y^3