Evaluate a Logarithm To a Fraction with a Root as the Denominator

The video tutorial explains how to simplify a logarithmic expression involving fractions and square roots. It begins by introducing the problem and then demonstrates how to rewrite the expression to eliminate fractions and square roots. The tutorial further simplifies the expression using exponent rules, leading to a final simplified result. The process is explained step-by-step without using a calculator.

What is the first step suggested to simplify the expression with a fraction and a square root?

• Rewrite the expression to eliminate the fraction and square root

• Use a calculator to find the value

• Ignore the fraction and focus on the square root

• Convert the expression into a decimal

How can a root of X to the B be rewritten according to the instructor?

• As X equals A divided by B

• As X equals B divided by A

• As B divided by X

• As X raised to the power of B

What happens when you have a positive power in the denominator?

• It becomes a negative power in the numerator

• It remains unchanged

• It is multiplied by the base

• It becomes a fraction

What is the simplified form of log base two of two raised to the negative one-half?

• Zero

• Negative one-half

• Two

• One-half

What rule of exponents is used to simplify log base M of M raised to the X?

• It equals X

• It equals zero

• It equals one

• It equals M