Product Rule for Exponents

This video tutorial explains the product rule for exponents, which is used when multiplying terms with the same base. The rule states that you keep the base and add the exponents. The tutorial provides examples with both numerical and variable bases, including handling negative exponents. It also clarifies that the product rule cannot be applied to terms with different bases, and in such cases, each term must be evaluated separately before multiplying the results.

What is the product rule used for in mathematics?

• Dividing exponents of different bases

• Adding exponents of different bases

• Subtracting exponents of the same base

• Multiplying exponents of the same base

When applying the product rule, what happens to the base?

• It is divided by the exponents

• It becomes the product of the bases

• It remains the same

• It changes to the sum of the bases

In the expression a^m * a^n, what is the resulting exponent when using the product rule?

• m + n

• m * n

• m - n

• m / n

What is the product rule for exponents?

• Subtract the exponents of like bases

• Add the exponents of like bases

• Multiply the exponents of like bases

• Divide the exponents of like bases

Using the product rule, what is 5^3 * 5^2?

• 5^1

• 5^4

• 5^5

• 5^6

What is the result of 4^2 * 4^7 using the product rule?

• 4^6

• 4^9

• 4^14

• 4^5

What is the result of 2^3 * 2^4 using the product rule?

• 2^6

• 2^1

• 2^12

• 2^7

How do you handle negative exponents when using the product rule?

• Subtract the exponents

• Ignore the negative sign

• Add the exponents as usual

• Multiply the exponents

What is the result of 3^4 * 3^-2 using the product rule?

• 3^2

• 3^8

• 3^0

• 3^6

How do you simplify 6^2 * 6^-3 using the product rule?

• 6^0

• 6^5

• 6^-1

• 6^1