Exploring Exponent Rules and Their Applications

What do you do with the exponents when multiplying quantities with the same base?

• Subtract them

• Multiply them

• Divide them

• Add them

What happens when you multiply two powers of the same base?

• The bases are multiplied

• The exponents are divided

• The exponents are added

• The bases are added

How do you handle an exponent raised to another exponent?

• Divide the exponents

• Subtract the exponents

• Add the exponents

• Multiply the exponents

When a product is raised to a power, what do you do with the exponent?

• Ignore it

• Subtract it from each quantity inside

• Distribute it to each quantity inside

• Multiply it by the base

In the expression (xy)^3, what is the correct distribution of the exponent?

• x^6y^6

• x^3 + y^3

• x^3y^3

• 3xy

What is the result of dividing quantities with the same base?

• Multiply their exponents

• Add their exponents

• Subtract the denominator's exponent from the numerator's

• Divide their exponents

What is the simplified form of x^7 / x^3?

• x^21

• x^10

• 4x

• x^4

What does any base raised to the zero power equal?

• Infinity

• One

• Zero

• The base itself

How do you simplify a negative exponent?

• Take the reciprocal of the base and make the exponent positive

• Multiply the base by the exponent

• Leave it as is

• Subtract the exponent from the base

What does x^-2 equal in positive exponent form?

• 1/x^2

• -2x

• x/2

• 2/x