What is the product of $$x^a$$ and $$x^b$$ ?

The product of $$x^a$$ and $$x^b$$ is $$x^{a+b}$$ .

What is the quotient of $$x^a$$ and $$x^b$$ ?

The quotient of $$x^a$$ and $$x^b$$ is $$x^{a-b}$$ .

What is the power of a power rule?

When raising a power to another power, multiply the exponents. For example, $$(x^a)^b = x^{a*b}$$ .

How do you simplify $$3x^2y^3 \times 4x^3y^2$$ ?

Multiply the coefficients and add the exponents of like bases: $$3 \times 4 = 12$$ , $$x^{2+3} = x^5$$ , $$y^{3+2} = y^5$$ . So, the result is $$12x^5y^5$$ .

What is the area of a triangle formula?

The area of a triangle is given by the formula: $$A = \frac{1}{2}bh$$ , where $$b$$ is the base and $$h$$ is the height.

What is the area of a rectangle formula?

The area of a rectangle is given by the formula: $$A = lw$$ , where $$l$$ is the length and $$w$$ is the width.

What is the perimeter of a rectangle formula?

The perimeter of a rectangle is given by the formula: $$P = 2l + 2w$$ or $$P = 2(l + w)$$ .

How do you combine like terms?

To combine like terms, add or subtract the coefficients of terms that have the same variable and exponent. For example, $$3x + 4x = 7x$$ .

What is the difference between a monomial and a polynomial?

A monomial is a single term, while a polynomial is a sum of two or more monomials.

What is the significance of coefficients in monomials?

Coefficients are the numerical factors in monomials that multiply the variable(s). They determine the magnitude of the term.

Operations with Monomials

Flashcard

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.A.1, 8.EE.A.1, 4.MD.A.3

Standards-aligned

Wayground Content

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15 questions

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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.

FLASHCARD QUESTION

Front

What is the degree of a monomial?

Back

FLASHCARD QUESTION

Front

How do you multiply monomials?

Back

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