Applying the power rule of exponents to an expressions

The video tutorial explains how to simplify expressions using the power rule and the power to product rule. It highlights common mistakes students make, such as misapplying the rules to sums or differences, and emphasizes the correct application of these rules to products and quotients. The tutorial provides step-by-step guidance on using these rules to simplify expressions, ensuring students understand the concepts and avoid errors.

What does the power rule state when a variable is raised to another power?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

When applying the power to product rule, what must be true about the bases of the exponents?

• They must be prime numbers

• They must be even numbers

• They must be the same

• They must be different

Which of the following is NOT a valid application of the power to product rule?

• Power of a quotient

• Power of a difference

• Power of a sum

• Power of a product

What is the result of simplifying (-3)^5 using the power rule?

• (-3)^8

• (-3)^15

• (-3)^5

• (-3)^10

Why can't the power to product rule be applied to a sum or difference?

• Because it requires even exponents

• Because it only works for products and quotients

• Because it only works for integers

• Because it only applies to positive numbers