What is the definition of a radical expression?

$$A radical expression is an expression that includes a root symbol (√) to indicate the root of a number or variable.$$ .

Rational Exponents and Radical Form Flashcards: 15 Cards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the radical form of $x^{\frac{7}{3}}$ ?

Back

@@ ext{The radical form is } oot{3}{x^7}@@.

2.

FLASHCARD QUESTION

Front

Convert @@ oot{3}{x^5}@@ to exponential form.

Back

$x^{\frac{5}{3}}$ .

3.

FLASHCARD QUESTION

Front

What is the definition of a rational exponent?

Back

$A rational exponent is an exponent that can be expressed as a fraction, where the numerator is the power and the denominator is the root.$

4.

FLASHCARD QUESTION

Front

Rewrite @@ oot{2}{8}@@ using rational exponents.

Back

$8^{\frac{1}{2}}$ .

5.

FLASHCARD QUESTION

Front

What is the relationship between radical and rational exponents?

Back

$Radical expressions can be rewritten using rational exponents, where$ oot[n]{x} = x^{rac{1}{n}}@@.

6.

FLASHCARD QUESTION

Front

Convert @@ oot{4}{16}@@ to exponential form.

Back

$16^{\frac{1}{4}}$ .

7.

FLASHCARD QUESTION

Front

What is the radical form of $x^{\frac{1}{2}}$ ?

Back

@@ oot{2}{x}@@.

8.

FLASHCARD QUESTION

Front

Write @@ oot{5}{x^3}@@ in exponential form.

Back

$x^{\frac{3}{5}}$ .

9.

FLASHCARD QUESTION

Front

What is @@ oot{3}{x^6}@@ in exponential form?

Back

$x^{2}$ .

10.

FLASHCARD QUESTION

Front

Convert @@ oot{3}{27}@@ to exponential form.

Back

$27^{\frac{1}{3}}$ .

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