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 state?

Explain why we add the powers when multiplying two bases with the same exponent.

Calculate 3 squared times 3 cubed and express it in terms of a single exponent.

What does 3 squared mean in terms of multiplication?

How can you express the multiplication of 3 squared and 3 cubed using exponents?