How to evaluate an expression using rational exponents ex 1, sixth root(64)

The video tutorial explains how to evaluate expressions using rational exponents. It begins by introducing the concept of rational exponents and demonstrates how to rewrite numbers like 64 using exponents. The tutorial then applies properties of exponents to simplify expressions and find roots, ultimately showing how to evaluate expressions with rational exponents effectively.

What is the benefit of expressing a number as a rational exponent?

• It is a method used only in advanced mathematics.

• It makes calculations more complex.

• It allows for easier manipulation and understanding of roots.

• It is only useful for square roots.

How can the number 64 be rewritten using exponents?

• As 16 to the power of 1

• As 8 squared

• As 4 cubed

• As 2 to the power of 6

What is the simplified form of 8 to the 2/6 power?

• 8 to the 1/2 power

• 8 to the 1/3 power

• 8 to the 1/5 power

• 8 to the 1/4 power

What is the cube root of 8?

• 4

• 1

• 2

• 3

Which property of exponents is used to simplify 8 squared to the 1/6 power?

• Division of exponents

• Subtraction of exponents

• Addition of exponents

• Multiplication of exponents