Properties of Exponents Quiz

What is the result of dividing a^x by a^y according to the quotient rule?

• a^(x-y)

• a^(x+y)

• a^(x*y)

• a^(y-x)

How do you simplify R^2 / R^3 using the quotient rule?

• 1/R

• R^5

• R^1

• R^(-1)

What is the simplified form of 1/4 * X^(-1) / X^4?

• 4X^5

• 1/(X^3)

• X^3

• 1/(4X^5)

How do you handle a negative exponent in the denominator?

• Add it to the numerator's exponent

• Leave it as is

• Move it to the numerator and make it positive

• Ignore it

What is the result of simplifying 2/3 * H^3 * J^(-3) / J * K^4 / K?

• 2H^3 / (3J^4K^3)

• 2H^3K^3 / (3J^4)

• 2H^3K^4 / (3J^3)

• 2H^3K^3 / (3J^3)

What happens to a variable raised to the power of zero?

• It remains unchanged

• It becomes negative

• It becomes zero

• It becomes one

How can you rewrite a negative exponent in the numerator?

• Leave it as is

• Multiply it by the base

• Add it to the denominator's exponent

• Move it to the denominator and make it positive

What is the simplified form of 3x^3 * y^(-1) * z^(-1) / x^(-4)?

• 3x^(-1) / (yz)

• 3x^7yz

• 3x^3 / (yz)

• 3x^7 / (yz)

What is the alternative method for handling negative exponents?

• Add them to the other exponents

• Ignore them

• Convert them to positive by moving them across the fraction

• Multiply them by the base

What is the result of multiplying x^3 by x^4?

• x^7

• x^1

• x^0

• x^12