What is the product of powers of exponents

The video tutorial explains the product of powers rule, which states that when multiplying terms with the same base, you add the exponents. The instructor provides a detailed explanation of why this rule holds true, using an example of multiplying 3^2 and 3^3. The calculation is shown step-by-step, demonstrating that 3^2 * 3^3 equals 3^5. The video concludes with a verification of the rule and a summary of the key points.

What does the product of powers rule state?

• Multiply the exponents when the bases are the same.

• Divide the exponents when the bases are the same.

• Add the exponents when the bases are the same.

• Subtract the exponents when the bases are the same.

If you have 3^2 * 3^3, what is the result according to the product of powers rule?

• 3^3

• 3^6

• 3^5

• 3^4

What is the value of 3^5?

• 81

• 243

• 125

• 27

How can 3^2 * 3^3 be expressed in terms of repeated multiplication?

• 3 * 3

• 3 * 3 * 3 * 3 * 3

• 3 * 3 * 3 * 3

• 3 * 3 * 3

When multiplying terms with the same base, what operation is performed on the exponents?

• They are divided.

• They are added.

• They are multiplied.

• They are subtracted.