Convert $$\frac{1}{2}$$ to a radical form.

$$x^{\frac{1}{2}} = \text{sqrt}(x)$$ , which represents the square root of x.

Convert $$\frac{3}{5}$$ to a radical form.

$$x^{\frac{3}{5}} = \text{fifth root of } x^3 = \text{sqrt[5]{x^3}}$$ .

Convert $$\frac{11}{2}$$ to a radical form.

$$x^{\frac{11}{2}} = \text{sqrt}(x^{11})$$ .

What does $$x^{\frac{m}{n}}$$ represent?

It represents the nth root of $$x^m$$ .

Convert $$\frac{2}{3}$$ to a radical form.

$$x^{\frac{2}{3}} = \text{cube root of } x^2 = \text{sqrt[3]{x^2}}$$ .

Convert $$\frac{5}{2}$$ to a radical form.

$$x^{\frac{5}{2}} = \text{sqrt}(x^5)$$ .

Rational Exponents Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define rational exponent.

Back

2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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4

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents provide a way to express roots in exponential form, where the denominator of the exponent indicates the root.

7.

FLASHCARD QUESTION

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