Simplifying a radical expression by using the division property of radicals

The video tutorial covers the application of rules of radicals and exponents to simplify mathematical expressions. The instructor demonstrates how to rewrite expressions using these rules and provides tips for quick calculations and checking work. The session concludes with a brief farewell.

What is the first step in simplifying the expression 64X to the 9th over the cube root of 343?

• Multiply 64 by 343

• Apply the rules of exponents

• Rewrite 64 as 4 cubed

• Divide 9 by 3

How can the cube root of 64 be expressed using powers?

• As 4 cubed

• As 2 squared

• As 16 cubed

• As 8 squared

What is the result of simplifying the cube root of X to the 9th?

• X squared

• X to the sixth

• X cubed

• X to the ninth

What is the cube root of 343?

• 5

• 6

• 7

• 8

Why is it important to show all work when simplifying expressions?

• To make the process faster

• To ensure accuracy and understanding

• To impress the teacher

• To avoid using a calculator