What is a variable in a monomial?

A variable is a symbol (like x or y) that represents a number in an expression.

What is the degree of the monomial $$4x^3y^2$$ ?

The degree is 5 (3 from x and 2 from y).

Multiplying and Dividing Monomials Flashcards: 15 Cards

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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

Simplify: $7x^4y^2(2x^2y^3)$

Back

$14x^6y^5$ .

4.

FLASHCARD QUESTION

Front

What is the product of $4x$ and $2x^2$ ?

Back

$8x^3$ .

5.

FLASHCARD QUESTION

Front

Simplify: $(3b^3)(b^4)$

Back

$3b^7$ .

6.

FLASHCARD QUESTION

Front

What is the product of $8x^2y$ and $3x^3y^2$ ?

Back

$24x^5y^3$ .

7.

FLASHCARD QUESTION

Front

What is the quotient rule in exponents?

Back

The quotient rule states that when dividing two powers with the same base, subtract the exponents: $a^m / a^n = a^{m-n}$ .

8.

FLASHCARD QUESTION

Front

Evaluate: $x^{10} / x^5$

Back

$x^5$ .

9.

FLASHCARD QUESTION

Front

What is the coefficient in the monomial $5x^3y^2$ ?

Back

The coefficient is 5.

10.

FLASHCARD QUESTION

Front

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

Back

You add the exponents: $x^a * x^b = x^{a+b}$ .

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