Simplifying Powers

The video tutorial explains how to simplify expressions using the product of powers property. It presents a problem involving multiplying powers with the same base and guides viewers through the process of adding exponents to simplify the expression. The solution is demonstrated step-by-step, leading to the final answer. The tutorial concludes with a summary of the method and encourages viewers to practice further.

What is the initial expression given in the problem?

• 4 to the 6th multiplied by 4 to the 2nd

• 3 to the 6th multiplied by 3 to the 2nd

• 3 to the 5th multiplied by 3 to the 3rd

• 2 to the 6th multiplied by 2 to the 2nd

According to the product of powers property, what should you do with the exponents when multiplying powers with the same base?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

What is the result of adding the exponents 6 and 2 in the given problem?

• 7

• 8

• 9

• 10

What is the simplified form of the expression 3 to the 6th multiplied by 3 to the 2nd?

• 3 to the 10th

• 3 to the 8th

• 3 to the 9th

• 3 to the 7th

Which answer choice corresponds to the simplified expression 3 to the 8th?

• Choice C

• Choice D

• Choice B

• Choice A