Learn how to simplify a number with a rational exponent ex 3, 16^(3/2)

The video tutorial explains how to evaluate numbers raised to rational exponents. It begins by introducing the concept and then explores two methods: rewriting the expression as a radical and using exponent properties to simplify the expression. The tutorial demonstrates the process with an example, showing how to rewrite 16 as 4 squared and then apply exponent properties to find the final answer of 64. The video concludes by summarizing the steps involved in evaluating rational exponents.

What is one method to evaluate a rational exponent?

• Rewriting it as a fraction

• Rewriting it as a radical

• Rewriting it as a logarithm

• Rewriting it as a decimal

Why might rewriting a rational exponent as a radical not be the simplest approach?

• It always results in a negative number

• It requires converting to a fraction

• It involves complex multiplication

• It may involve difficult calculations without a calculator

What is the first step in rewriting 16 as a base raised to a power?

• Rewrite 16 as 2^4

• Rewrite 16 as 16^1

• Rewrite 16 as 4^2

• Rewrite 16 as 8^2

What is the result of simplifying 4 raised to the 3rd power?

• 64

• 32

• 128

• 16

What is the final answer when evaluating 16 raised to the 3/2 power?

• 256

• 64

• 128

• 32