What is the definition of a coefficient in a monomial?

A coefficient is a numerical factor in a term of a polynomial.

What is the rule for multiplying monomials with the same base?

Add the exponents of the like bases.

Multiplying and Dividing Monomials Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.

2.

FLASHCARD QUESTION

Front

What does it mean to multiply monomials?

Back

Multiplying monomials involves multiplying their coefficients and adding the exponents of like bases.

3.

FLASHCARD QUESTION

Front

What is the product of $3x^2$ and $2x^3$ ?

Back

$6x^5$ .

4.

FLASHCARD QUESTION

Front

How do you divide monomials?

Back

To divide monomials, divide their coefficients and subtract the exponents of like bases.

5.

FLASHCARD QUESTION

Front

What is $\frac{8x^8}{2x^2}$ simplified?

Back

$4x^6$ .

6.

FLASHCARD QUESTION

Front

What is the result of $(d^4)(d^5)$ ?

Back

$d^9$ .

7.

FLASHCARD QUESTION

Front

What is the coefficient in the monomial $5x^3$ ?

Back

The coefficient is 5.

8.

FLASHCARD QUESTION

Front

What happens to the exponents when multiplying $x^a$ and $x^b$ ?

Back

The exponents are added: $x^{a+b}$ .

9.

FLASHCARD QUESTION

Front

What is the result of $10x^2y^5(9x^3y)$ ?

Back

$90x^5y^6$ .

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