Simplify Rational Exponents

6.4 Rational Exponents (Part 1)

By Martina Taylor

Multiple Select

$$a^{\frac{b}{c}}$$  

Please identify the parts of the rational exponent expression.

• b: index

• b: power

• c: index

• c: power

Draw

Circle the example that is converted incorrectly. 

Fill in the Blank

Type the exponential form of c in the first part of Example 1.

Use "/" for fractions and "^" for exponents. NO SPACES.

$$\sqrt[4]{c^3}$$

Multiple Select

$$x^{\frac{2}{7}}=\sqrt[n]{x^y}$$  

Please identify the parts of the radical expression.

• n: 2

• n: 7

• y: 2

• y: 7

Fill in the Blank

How can we rewrite the base as a power expression? What is the simplified form of the entire expression?

Write your answer in the following format: x^n;value NO SPACES!

$$8^{\frac{2}{3}}$$