How do you simplify $$\frac{(2^8)^2}{2^4}$$ ?

Using the power of a power rule, $$\frac{(2^8)^2}{2^4} = \frac{2^{16}}{2^4} = 2^{16-4} = 2^{12}$$ .

What is the difference of squares?

The difference of squares is a special product that states $$a^2 - b^2 = (a - b)(a + b)$$ .

What is the zero exponent rule?

The zero exponent rule states that any non-zero base raised to the power of zero equals one. For example, $$a^0 = 1$$ , where a ≠ 0.

How do you multiply polynomials?

To multiply polynomials, use the distributive property (also known as the FOIL method for binomials) to multiply each term in one polynomial by each term in the other polynomial.

What is the coefficient in a polynomial?

A coefficient is a numerical factor in a term of a polynomial. For example, in the term $$3x^2$$ , 3 is the coefficient.

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the polynomial. For example, the degree of $$4x^3 + 2x^2 - x + 5$$ is 3.

How do you simplify @@ oot{3}{27}@@?

@@ oot{3}{27} = 3@@, since 3 cubed equals 27.

A binomial is a polynomial with exactly two terms. For example, $$3x + 4y$$ is a binomial.

Mixed Review Polynomials, Exponents and Radicals Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What are the rules for adding polynomials?

Back

3.

FLASHCARD QUESTION

Front

What is the power of a power rule in exponents?

Back

4.

FLASHCARD QUESTION

Front

How do you simplify @@9 oot{3}{32}@@?

Back

@@9 oot{3}{32} = 18 oot{3}{4}@@.

5.

FLASHCARD QUESTION

Front

What is the product of powers rule in exponents?

Back

6.

FLASHCARD QUESTION

Front

What is the sum of polynomials?

Back

7.

FLASHCARD QUESTION

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root or cube root. For example, @@ oot{2}{x}@@ is a radical expression.

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