Exploring Properties of Exponents in Monomials

What does the exponent in a mathematical expression indicate?

• The number of times the base is subtracted

• The number of times the base is divided

• The number of times the base is added

• The number of times the base is used as a factor

What is the result of any number raised to the power of zero?

• Undefined

• The base itself

• Zero

• One

How would you simplify the expression with a zero exponent, such as (3xy)^0?

• 3xy

• 1

• Undefined

• 0

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

• Divide them

• Subtract them

• Add them

• Multiply them

In the expression (x^5)/(x^3), what is the simplified result?

• x^8

• x^2

• 2x

• x^15

What is the result of dividing two identical monomials, such as (a^b)/(a^b)?

• a^2b

• 1

• 0

• a^(b-b)

If you have 6x^4 divided by 2x^3, what is the simplified form?

• 3x

• 3x^7

• 3x^1

• 4x

What happens to the coefficients when dividing monomials?

• They are added

• They are subtracted

• They are multiplied

• They are divided

What is the simplified form of 14r^2s^2 divided by 7rs?

• 7r^1s^1

• 2rs

• 2r^1s^1

• 2r^2s

If a variable does not show an exponent explicitly, what is its assumed exponent?

• The base of the logarithm

• 1

• 0

• It is undefined