Understanding Exponents and Radical Forms

The video tutorial explains how to simplify an expression with a negative exponent of -2/3 applied to the numbers 27 and 125. It demonstrates converting the expression to use positive exponents, then rewriting it in radical form. The tutorial further simplifies the expression by calculating the cube roots of 125 and 27, and finally, it simplifies the result to 25/9.

What is the first step in simplifying the expression with a negative exponent?

• Find the square root of the numbers

• Rewrite the expression using positive exponents

• Apply the negative exponent to the numbers

• Convert the expression to a fraction

How do you express an exponent of 2/3 in radical form?

• As a square root followed by a cube

• As a square root followed by a square

• As a cube root followed by a cube

• As a cube root followed by a square

What does the denominator in the exponent 2/3 indicate?

• The number to be squared

• The number to be cubed

• The root to be taken

• The power to be applied

What is the cube root of 125?

• 5

• 9

• 25

• 3

What is the final result of simplifying the expression?

• 9/25

• 3/5

• 5/3

• 25/9