Exponent Rules and Simplification

The video tutorial explains how to simplify an expression with exponents. It covers the application of various exponent rules, including the fraction rule, product rule, and power rule. The tutorial also addresses how to handle negative exponents by converting them to positive exponents. The final simplified expression is presented, and viewers are encouraged to visit the website for more tutorials.

What is the initial expression that needs to be simplified?

• x^-3 * y / z^2

• x^-3 * y / z^-2

• x^3 * y / z^2

• x^3 * y / z^-2

When a fraction is raised to a power, what should be done with the exponent?

• Multiply the exponent with both the numerator and denominator

• Add the exponent to both the numerator and denominator

• Subtract the exponent from both the numerator and denominator

• Apply the exponent to both the numerator and denominator

What is the first step in simplifying the given expression?

• Combine like terms

• Apply the power rule

• Distribute the exponent to the fraction

• Move terms with negative exponents

What rule is used to distribute an exponent to each term in a product?

• Quotient Rule

• Product Rule

• Negative Exponent Rule

• Power Rule

How do you simplify an expression where a term is raised to another exponent?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

Which rule allows you to multiply exponents when a term is raised to another exponent?

• Negative Exponent Rule

• Power Rule

• Quotient Rule

• Product Rule

What is the result of multiplying -3 and -4 in the power rule application?

• -7

• 7

• 12

• -12

What is the result of multiplying 2 and 4 in the power rule application?

• 10

• 12

• 8

• 6

What happens to a term with a negative exponent in a fraction?

• It stays in the same position with a positive exponent

• It moves to the opposite part of the fraction with a positive exponent

• It is removed from the expression

• It is multiplied by zero

What should be done with a term that has a positive exponent?

• Remove it from the expression

• Change its exponent to negative

• Leave it in its current position

• Move it to the opposite part of the fraction