Operations with Rational Exponents

Multiple Select

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Rational Exponents (Part 1)

Objective: Simplify expressions with rational exponents.

 

Math Response

Find: $$\left(\sqrt[3]{8}\right)^4$$

Type answer here

Correct Answer: 16

Deg^°

Rad

​Roots as Exponents

​Radical

​Rational Exponent

​Answer

Math Response

Write $$\sqrt[4]{16}$$ with a rational exponent.

Type answer here

Correct Answer: 16^{\frac{1}{4}}

Deg^°

Rad

Match

Match the following rational exponents with their solution.

• $$64^{\frac{1}{6}}$$

• $$81^{\frac{1}{4}}$$

• $$64^{\frac{1}{3}}$$

• $$64^{\frac{1}{2}}$$

• $$81^{\frac{1}{2}}$$

2

3

4

8

9

• 2

• 3

• 4

• 8

• 9

​Roots as Exponents

​Radical

​Rational Exponent

​Roots as Exponents

​Example Explained

Math Response

Write $$\sqrt[4]{16^3}$$ with a rational exponent.

Type answer here

Correct Answer: 16^{\frac{3}{4}}

Deg^°

Rad

Math Response

Write $$9^{\frac{4}{3}}$$ as a radical.

Type answer here

Correct Answer: \sqrt[3]{9^4}

Deg^°

Rad

​Roots as Exponents

​Example

​Write with a rational exponent

Math Response

Write $$\sqrt[7]{y^5}$$ with a rational exponent.

Type answer here

Correct Answer: y^{\frac{5}{7}}

Deg^°

Rad