What is $$x^{-\frac{3}{2}}$$ expressed in terms of positive exponents?

It can be expressed as $$\frac{1}{ig(\text{sqrt}{x}ig)^3}$$ .

Which expression is equivalent to $$x^{\frac{2}{3}}$$ ?

It is equivalent to $$\text{sqrt[3]{x^2}}$$ .

What does the discriminant of a quadratic equation tell us?

The discriminant, $$b^2 - 4ac$$ , indicates the nature of the roots: if positive, two distinct real roots; if zero, one real root; if negative, two complex roots.

What is the product of the roots of a quadratic equation?

The product of the roots is given by $$\frac{c}{a}$$ .

Define imaginary unit i.

The imaginary unit i is defined as $$i = \text{sqrt}{-1}$$ .

How do you simplify $$x^{\frac{m}{n}}$$ ?

It can be simplified to $$\text{sqrt[n]{x^m}}$$ .

What is the rule for multiplying powers with the same base?

When multiplying powers with the same base, add the exponents: $$a^m \times a^n = a^{m+n}$$ .

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

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

What is the value of $$\frac{1}{x^{\frac{3}{2}}}$$ ?

It can be expressed as $$x^{-\frac{3}{2}}$$ .

review-2 algebra2 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

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The factors are: (x + 3)(x + 4).

2.

FLASHCARD QUESTION

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The value is -1.

3.

FLASHCARD QUESTION

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Back

4.

FLASHCARD QUESTION

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The result is 49.

5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

Front

Define a quadratic equation.

Back

7.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

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