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

$$\text{The radical form is } \sqrt{x}$$ .

Simplify $$x^{\frac{1}{3}}y \cdot xy^{\frac{3}{2}}$$ .

$$x^{\frac{4}{3}}y^{\frac{5}{2}}$$ .

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

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

Simplify $$4v^{\frac{2}{3}} \cdot v^{-1}$$ .

$$\frac{4}{v^{\frac{1}{3}}}$$ .

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

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

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

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

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

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

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

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

Convert $$z^{\frac{1}{4}}$$ to radical form.

$$\text{The radical form is } \sqrt[4]{z}$$ .

What is the rule for raising a power to a power?

When raising a power to a power, multiply the exponents: $$(a^m)^n = a^{m \cdot n}$$ .

rational exponents Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a rational exponent?

Back

Tags

CCSS.HSN.RN.A.2

2.

FLASHCARD QUESTION

Front

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

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.RN.A.2

6.

FLASHCARD QUESTION

Front

What does it mean to simplify an expression with rational exponents?

Back

To simplify means to combine like terms and reduce the expression to its simplest form, often resulting in positive exponents.

Tags

CCSS.HSN.RN.A.2

7.

FLASHCARD QUESTION

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