Exploring Properties of Exponents

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

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

• Add the exponents

If you have x^2 multiplied by x^3, what is the simplified result?

• 2x^3

• x^10

• x^6

• x^5

How do you simplify a base raised to a negative exponent multiplied by the same base raised to a positive exponent?

• By subtracting the exponents

• By adding the exponents

• By dividing the exponents

• By multiplying the exponents

What is the result of 2^-3 * 2^5?

• 2^15

• 2^-8

• 2^8

• 2^2

What does the quotient rule of exponents state?

• Divide the exponents

• Subtract the exponents

• Add the exponents

• Multiply the exponents

If you divide x^5 by x^3, what is the simplified form?

• 2x

• x^15

• x^8

• x^2

How do you handle a base with a negative exponent in the final answer?

• Convert it to a positive exponent in the numerator

• Convert it to a positive exponent in the denominator

• Multiply it by -1

• Leave it as is

What is the power rule of exponents?

• Multiply the exponents

• Add the exponents

• Subtract the exponents

• Divide the exponents

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

• 4x^2

• x^6

• x^8

• x^16

Why does the power rule make sense?

• Because adding bases also adds the exponents

• Because raising a power to another power multiplies the exponents

• Because dividing bases subtracts the exponents

• Because multiplying bases adds the exponents