Exponent Rules and Simplification

This video tutorial reviews key properties of exponents, focusing on operations involving the same base. It explains how to add exponents when multiplying with the same base, how to handle products raised to a power, and how to multiply exponents when a power is raised to another power. The tutorial concludes with a summary of these rules.

What happens to the exponents when you multiply two expressions with the same base?

• You subtract the exponents.

• You multiply the exponents.

• You add the exponents.

• You divide the exponents.

If you have 3^2 * 3^4, what is the simplified form?

• 3^24

• 3^12

• 3^8

• 3^6

When raising a product to a power, what should you do with each factor?

• Divide the power among the factors.

• Raise each factor to the power.

• Multiply the power by each factor.

• Add the power to each factor.

What is the result of (2x)^3?

• 2^3 * x^3

• 2^3 - x^3

• 2^3 / x^3

• 2^3 + x^3

How do you simplify (a^3)^4?

• a^12

• a^0

• a^7

• a^1

What is the simplified form of (5^2)^3?

• 5^8

• 5^6

• 5^9

• 5^5

If you have a power raised to another power, what operation do you perform on the exponents?

• Add the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Divide the exponents.

What is the result of (x^2)^5?

• x^1

• x^25

• x^10

• x^7

What is the simplified form of (3^4)^2?

• 3^16

• 3^6

• 3^8

• 3^12

What is the key takeaway when multiplying expressions with the same base?

• Multiply the exponents.

• Add the exponents.

• Divide the exponents.

• Subtract the exponents.