Exploring the Product Rule for Exponents

What does the product rule for exponents state about multiplying powers with the same base?

• Multiply the bases and add the exponents

• None of the above

• Add the exponents and keep the base the same

• Multiply both the bases and the exponents

If you have 3^4 * 3^2, what is the result using the product rule?

• 3^6

• 6^3

• 3^8

• 9^6

What are the necessary conditions to apply the product rule for exponents?

• Powers must be subtracted and have different bases

• Powers must be divided and have the same base

• Powers must be multiplied and have the same base

• Powers must be added and have different bases

In the expression P^2 * P^2, what does the product rule simplify this to?

• 2P^2

• P^4

• 4P

• P^2^2

What is the result of applying the product rule to x^a * x^b?

• x^(a+b)

• x^(a*b)

• x^(a-b)

• 2x^(a+b)

What is the result of 3^(h+h) using the product rule?

• 6^h

• 3h^2

• 3^2h

• 3^(2h)

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

• The exponents are not integers

• The rule only applies to variables

• The bases are different

• The powers are being added, not multiplied

What is the correct simplification of 2^2 * 2^3 using the product rule?

• 4^5

• 8^2

• 2^6

• 2^5

What does 2^2 + 2^3 simplify to?

• 4^5

• 2^6

• 2^5

• 4 + 8 = 12

What must be true for the product rule to apply to two powers?

• The exponents must be the same and the powers added

• The powers must be multiplied and have the same base

• The bases must be different and the powers multiplied

• The powers must be added and have the same exponent