How do you rewrite $$\frac{1}{2}$$ as a radical?

$$\frac{1}{2}$$ can be rewritten as $$\text{sqrt}$$ .

What is the radical form of $$x^{\frac{3}{4}}$$ ?

The radical form is $$\text{sqrt[4]{x^3}}$$ .

How do you express $$\text{sqrt[5]{x^3}}$$ in exponential form?

In exponential form, it is $$x^{\frac{3}{5}}$$ .

Rewrite $$\text{sqrt{x}}$$ using a rational exponent.

$$\text{sqrt{x}}$$ can be rewritten as $$x^{\frac{1}{2}}$$ .

What is $$\text{sqrt[4]{x^2}}$$ in exponential form?

In exponential form, it is $$x^{\frac{2}{4}}$$ or $$x^{\frac{1}{2}}$$ .

How do you convert $$\text{sqrt[3]{x^7}}$$ to exponential form?

It converts to $$x^{\frac{7}{3}}$$ .

What is the value of $$x^{\frac{5}{3}}$$ in radical form?

In radical form, it is $$\text{sqrt[3]{x^5}}$$ .

What does $$x^{\frac{1}{5}}$$ represent in radical form?

It represents the fifth root of x, written as $$\text{sqrt[5]{x}}$$ .

How do you express $$\text{sqrt[2]{x^4}}$$ in exponential form?

In exponential form, it is $$x^{\frac{4}{2}}$$ or $$x^{2}$$ .

What is the radical form of $$x^{\frac{3}{5}}$$ ?

The radical form is $$\text{sqrt[5]{x^3}}$$ .

How do you rewrite $$\text{sqrt[2]{x}}$$ using a rational exponent?

It can be rewritten as $$x^{\frac{1}{2}}$$ .

117 Rational Exponents/Radicals Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root.

Tags

CCSS.HSN.RN.A.2

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.RN.A.2

4.

FLASHCARD QUESTION

Front

Back

It represents the cube root of x.

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.RN.A.2

6.

FLASHCARD QUESTION

Front

What is the relationship between radicals and rational exponents?

Back

Radicals can be expressed as rational exponents, where the root is the denominator and the power is the numerator.

Tags

CCSS.HSN.RN.A.2

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.RN.A.2

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