Understanding the Product Rule for Exponents

What is the product rule for exponents?

• Multiply the bases and add the exponents.

• Add the bases and multiply the exponents.

• Subtract the exponents and divide the bases.

• Keep the base the same and add the exponents.

In the expression 2^3 * 2^4, what is the result using the product rule?

• 2^6

• 2^7

• 2^1

• 2^12

How does the product rule apply when variables are involved, such as in p^2 * p^3?

• p^8

• p^6

• p^5

• p^1

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

• 3^(h-1)

• 3^(h+1)

• 3^(2h)

• 3^(h^2)

Which of the following is NOT a condition for using the product rule?

• The powers must be multiplied together.

• The bases must be the same.

• The exponents must be equal.

• The operation must involve multiplication.

What mistake is commonly made when using the product rule?

• Using it for division of powers.

• Using it for multiplication of different bases.

• Using it for addition of powers.

• Using it for subtraction of powers.

If you have x^a * x^b, what is the result according to the product rule?

• x^(a*b)

• x^(a+b)

• x^(a-b)

• x^(a/b)

Why can't the product rule be used for 2^2 + 2^3?

• Because the operation is addition, not multiplication.

• Because the exponents are different.

• Because the bases are different.

• Because the result would be negative.

Which of the following expressions correctly uses the product rule?

• 7^1 / 7^1

• 6^4 - 6^2

• 5^3 * 5^2

• 4^2 + 4^3

What should you do if the bases are not the same when trying to use the product rule?

• Multiply the bases.

• Add the exponents anyway.

• Do not use the product rule.

• Subtract the exponents.