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Use Cube Roots and Fractional Exponents

Goal • Simplify expressions with fractional exponents.

Your Notes
VOCABULARY

Cube root The cube root of a real number a is a
real number b such that
Example 1 Find cube roots

Evaluate the expression.

The cube root of -1 is -1.
The opposite of the cube root of
343 is -7.
The opposite of the cube root of
-125 is 5.
Example 2 Multiple Choice Practice

What is the value of the expression

Solution

Evaluate and

  Add.

The correct answer is B.

Guided Practice Simplify the expression.

Example 3 Evaluate expressions involving square roots

Example 4 Evaluate expressions involving cube roots

Example 5 Use properties of exponents

Simplify the expression. Write your answer using
only positive exponents.

Guided Practice Simplify the expression. Write your
answer using only positive exponents.

Homework