What is the value of $$x^{0}$$ for any non-zero x?

For any non-zero number $$x$$ , $$x^{0} = 1$$ .

How do you evaluate $$x^{\frac{3}{2}}$$ ?

To evaluate $$x^{\frac{3}{2}}$$ , first find the square root of $$x$$ , then raise that result to the third power: @@x^{rac{3}{2}} = oot{2}{x}^3@@.

What is the significance of the leading coefficient in a polynomial?

The leading coefficient is the coefficient of the term with the highest degree. It affects the end behavior of the polynomial function.

How do you identify the degree of a polynomial?

The degree of a polynomial is the highest exponent of the variable in the polynomial. For example, in $$y = 7x^3 - 5x^2 + 2x + 7$$ , the degree is 3.

What is the difference between even and odd degree polynomials in terms of end behavior?

Even degree polynomials have the same end behavior on both sides (both up or both down), while odd degree polynomials have opposite end behavior (one side up, the other down).

How do you express @@rac{1}{ oot{3}{x}}@@ in terms of rational exponents?

@@rac{1}{ oot{3}{x}} = x^{-rac{1}{3}}@@.

What is the value of $$(-2)^{\frac{1}{2}}$$ ?

$$(-2)^{\frac{1}{2}}$$ is not a real number because you cannot take the square root of a negative number in the real number system.

How do you add polynomials?

To add polynomials, combine like terms by adding their coefficients. For example, $$(3x^2 + 2x) + (4x^2 + 5) = 7x^2 + 2x + 5$$ .

What is the importance of understanding rational exponents in algebra?

Understanding rational exponents is crucial for simplifying expressions, solving equations, and analyzing functions in algebra.

Flashcardizz 3.1_Rational Exponents Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a rational exponent?

Back

Tags

CCSS.HSN.RN.A.2

2.

FLASHCARD QUESTION

Front

How do you convert a rational exponent to radical form?

Back

Tags

CCSS.HSN.RN.A.2

3.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function?

Back

4.

FLASHCARD QUESTION

Front

What does it mean for a polynomial to be in standard form?

Back

5.

FLASHCARD QUESTION

Front

Back

@@27^{rac{1}{3}} = oot{3}{27} = 3@@.

6.

FLASHCARD QUESTION

Front

What is the relationship between rational exponents and roots?

Back

Tags

CCSS.HSN.RN.A.2

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

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