How do you handle coefficients when dividing monomials?

Divide the coefficients separately from the variables: $$\frac{c_1x^m}{c_2x^n} = \frac{c_1}{c_2}x^{m-n}$$ .

What is the general formula for dividing monomials?

The general formula for dividing monomials is: $$\frac{c_1x^m}{c_2x^n} = \frac{c_1}{c_2}x^{m-n}$$ .

Dividing Monomials Flashcards: 15 Cards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define a monomial.

Back

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

2.

FLASHCARD QUESTION

Front

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

Back

When dividing monomials with the same base, subtract the exponents: $\frac{a^m}{a^n} = a^{m-n}$ .

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

Simplify: $\frac{a^9}{a^5}$

Back

$a^4$ .

4.

FLASHCARD QUESTION

Front

Simplify: $\frac{n^6}{n^{10}}$

Back

$\frac{1}{n^4}$ .

5.

FLASHCARD QUESTION

Front

What is the result of dividing a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.

Tags

CCSS.HSA.APR.D.6

6.

FLASHCARD QUESTION

Front

Simplify: $\frac{16x^4 + 8x^3 - 4x^2}{4x^2}$

Back

$4x^2 + 2x - 1$ .

Tags

CCSS.HSA.APR.D.6

7.

FLASHCARD QUESTION

Front

Simplify: $\frac{4a^4b^5c^8}{2a^2b^4c^6}$

Back

$2a^2bc^2$ .

8.

FLASHCARD QUESTION

Front

What happens to the exponent when you divide a variable by itself?

Back

When you divide a variable by itself, the result is 1, provided the variable is not zero: $\frac{a^m}{a^m} = 1$ .

Tags

CCSS.HSA.APR.A.1

9.

FLASHCARD QUESTION

Front

What is the simplified form of $\frac{x^5}{x^2}$ ?

Back

$x^3$ .

10.

FLASHCARD QUESTION

Front

If $\frac{b^7}{b^3}$ is simplified, what is the result?

Back

$b^4$ .

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