Negative Exponents and Simplification

This video tutorial explains how to simplify mathematical expressions by eliminating negative exponents. It covers two examples in detail, demonstrating the process of simplifying expressions inside parentheses, handling negative exponents, and applying exponent rules. The tutorial concludes with a summary of the steps and final results for each example.

What is the first step in simplifying an expression with parentheses?

• Multiply the coefficients

• Add the exponents

• Convert to negative exponents

• Simplify inside the parentheses

How do you simplify x^6 divided by x^4?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

What is the result of 15 divided by 5?

• 2

• 5

• 3

• 4

What rule is used to convert a negative exponent to a positive one?

• a^m = 1/a^(-m)

• a^(-m) = a^m

• a^(-m) = 1/a^m

• a^m = a^(-m)

What is 3 to the power of 3?

• 9

• 81

• 18

• 27

In the second example, what is the result of x^(-2) divided by x^2?

• x^0

• x^(-4)

• x^4

• x^(-2)

How do you handle y^3 divided by y^(-1)?

• Multiply the exponents

• Add the exponents

• Subtract the exponents

• Divide the exponents

What is the result of 5 to the power of 3?

• 25

• 100

• 125

• 75

What is the simplified form of 3^(-3)?

• 1/9

• 27

• 1/27

• 9

What is the final simplified form of the second expression?

• 5^3 / 3^3 * x^12 / y^12

• 5^3 * 3^3 / x^12 * y^12

• 3^3 * 5^3 / x^12 / y^12

• 3^3 / 5^3 * x^12 * y^12