Laws of Exponents and Simplification

Maria, a mathematician, introduces the basic rules of exponents. She explains the multiplication law, where exponents are added if the bases are the same, and the division law, where exponents are subtracted. The power to power law involves multiplying exponents when raising a power to another power. Lastly, she covers the zero power law, stating that any number to the zero power equals one.

What is the first rule of exponents introduced by Maria?

• Zero Power Rule

• Multiplication Law

• Division Law

• Power to the Power Law

When multiplying exponents with the same base, what should you do with the exponents?

• Divide them

• Add them

• Multiply them

• Subtract them

In the expression 2^2 * 2^3, what is the result?

• 4^5

• 2^6

• 4^6

• 2^5

What does the division law of exponents state?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

If you have a^5 / a^2, what is the simplified form?

• a^2

• a^3

• a^10

• a^7

What is the result of 6^5 / 6^2?

• 6^7

• 6^10

• 6^3

• 6^2

What does the power to the power law of exponents involve?

• Adding the exponents

• Subtracting the exponents

• Multiplying the exponents

• Dividing the exponents

How do you simplify (a^3)^2?

• a^5

• a^6

• a^1

• a^9

What is the result of (2^3)^4?

• 2^12

• 2^7

• 2^1

• 2^9

What should you do with the exponents when raising a power to another power?

• Divide them

• Subtract them

• Add them

• Multiply them