Learn how to evaluate a number raised to a negative rational power

The video tutorial explains how to evaluate 81 raised to the negative 1/4. It begins by rewriting the expression with a positive exponent and explores different ways to express 81, such as 9 squared and 3 to the fourth power. The tutorial demonstrates simplification and verification of the solution, and also explores an alternative method to solve the problem, showing that both methods yield the same result.

What is the first step in evaluating 81 raised to the negative 1/4 power?

• Multiply by 4

• Rewrite as a reciprocal

• Convert to a decimal

• Add 1 to the exponent

How can 81 be expressed as a power of 3?

• 3 to the fifth power

• 3 squared

• 3 cubed

• 3 to the fourth power

What is the simplified form of 1 over 81 to the 1/4?

• 1/3

• 1/9

• 1/27

• 1/81

What is the square root of 9?

• 2

• 5

• 3

• 4

Which method requires fewer steps to solve the problem?

• Using 81 as 2 to the eighth power

• Using 81 as 9 squared

• Using 81 as 4 to the third power

• Using 81 as 3 to the fourth power