Learn how to apply the power to product rule to simplify an expression

The video tutorial covers the rules of exponents, focusing on the power to product rule. It explains how to correctly apply this rule and highlights common mistakes students make, such as incorrectly distributing powers over addition. The tutorial also demonstrates the power rule, which involves multiplying exponents when raising a power to another power. Additionally, it addresses handling negative exponents and provides a step-by-step solution to a problem, emphasizing the importance of rewriting negative exponents as positive by placing them in the denominator or numerator as needed.

What does the power to product rule allow you to do with exponents?

• Add exponents when multiplying

• Distribute exponents over products

• Subtract exponents when dividing

• Distribute exponents over addition

Why can't you distribute exponents over addition?

• Because it changes the base

• Because it only works for subtraction

• Because it results in incorrect calculations

• Because it is only applicable to division

What is the correct way to expand (3 + X)^2?

• 3^2 + X^2

• (3 + X) * (3 + X)

• 3X^2

• 3^2X^2

How do you handle an exponent raised to another power?

• Divide the exponents

• Multiply the exponents

• Add the exponents

• Subtract the exponents

What should you do with a negative exponent to make it positive?

• Add it to the base

• Move it to the numerator

• Move it to the denominator

• Subtract it from the base