Convert $$\sqrt{16}$$ to a rational exponent.

$$\sqrt{16} = 16^{\frac{1}{2}}$$ .

Convert $$x^{\frac{3}{4}}$$ to radical form.

$$x^{\frac{3}{4}} = \sqrt[4]{x^3}$$ .

What is the value of $$\sqrt{49}$$ ?

The value of $$\sqrt{49} = 7$$ .

Write $$10^{\frac{2}{3}}$$ in radical form.

$$10^{\frac{2}{3}} = \sqrt[3]{10^2} = \sqrt[3]{100}$$ .

What is the definition of a rational exponent?

A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root. For example, $$a^{\frac{m}{n}}$$ .

Convert $$\sqrt[3]{8}$$ to a rational exponent.

$$\sqrt[3]{8} = 8^{\frac{1}{3}}$$ .

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

$$2^{\frac{3}{2}} = \sqrt{2^3} = \sqrt{8} = 2\sqrt{2}$$ .

Write the expression $$\sqrt{25x^2}$$ using a rational exponent.

$$\sqrt{25x^2} = (25x^2)^{\frac{1}{2}}$$ .

What is the simplified form of $$\sqrt{5x}$$ ?

$$\sqrt{5x} = (5x)^{\frac{1}{2}}$$ .

What is the value of $$\frac{5}{3}$$ as a rational exponent?

$$\frac{5}{3} = 10^{\frac{5}{3}}$$ .

Write $$\sqrt{25}$$ in terms of a rational exponent.

$$\sqrt{25} = 25^{\frac{1}{2}} = 5$$ .

Radical Expressions and Rational Exponents Flashcard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a radical expression?

Back

Tags

CCSS.8.NS.A.1

2.

FLASHCARD QUESTION

Front

How do you convert a radical expression to a rational exponent?

Back

Tags

CCSS.HSN.RN.A.2

3.

FLASHCARD QUESTION

Front

What is the relationship between rational exponents and radicals?

Back

Tags

CCSS.HSN.RN.A.2

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.RN.A.2

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.RN.A.2

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.2

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.RN.A.2

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