What is the product of two monomials?

To multiply two monomials, you multiply their coefficients and add their exponents for like bases.

Dividing Monomials Flashcards: 15 Cards (9th Grade)

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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 with non-negative integer exponents.

2.

FLASHCARD QUESTION

Front

What is the quotient rule for dividing monomials?

Back

The quotient rule states that when dividing two monomials, you subtract the exponents of like bases: $\frac{a^m}{a^n} = a^{m-n}$ .

3.

FLASHCARD QUESTION

Front

Simplify: $\frac{4x^5y^3}{2x^2y}$

Back

$2x^{3}y^{2}$ .

4.

FLASHCARD QUESTION

Front

What happens to the exponents when dividing monomials with the same base?

Back

You subtract the exponent of the denominator from the exponent of the numerator.

5.

FLASHCARD QUESTION

Front

Simplify: $\frac{12a^4b^2}{4a^2b}$

Back

$3a^{2}b$ .

6.

FLASHCARD QUESTION

Front

What is the result of dividing a monomial by itself?

Back

The result is 1, as long as the monomial is not zero.

7.

FLASHCARD QUESTION

Front

Simplify: $\frac{15x^6y^4}{5x^3y^2}$

Back

$3x^{3}y^{2}$ .

9.

FLASHCARD QUESTION

Front

Simplify: $\frac{9x^7}{3x^2}$

Back

$3x^{5}$ .

10.

FLASHCARD QUESTION

Front

What is the simplified form of $\frac{a^5}{a^5}$ ?

Back

1.

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