Pre-Calculus - Evaluating a Natural Logarithm with a Radical in the Denominator

The video tutorial explains the rules for powers and radicals, emphasizing their importance in solving mathematical problems. It demonstrates how to rewrite expressions using rational powers and apply exponent rules to simplify expressions, specifically focusing on removing radicals and handling denominators.

What is the rule for converting the MTH root of X to the N into an exponent form?

• X to the N / M

• X to the M / N

• X to the M + N

• X to the N * M

Why is it important to understand the rules of exponents and radicals?

• They are not important for calculus.

• They are only used in Algebra 1.

• They help in solving complex equations.

• They are rarely used in mathematics.

How can you rewrite Ln of 1 / E to the seven halves using rational powers?

• Ln of E to the 7/2

• Ln of E to the -7/2

• Ln of E to the -2/7

• Ln of E to the 2/7

What is the first step in simplifying an expression with radicals in the denominator?

• Ignore the radicals.

• Multiply by the denominator.

• Convert the radicals to rational powers.

• Add more radicals.

What is the final answer when simplifying Ln of E to the -7/2?

• 1

• 0

• 7/2

• -7/2