Tutorial - Evaluating Logarithms Without a Calculator

The video tutorial explains how to raise fractions to both positive and negative powers, using the example of 2/3. It covers the concept of reciprocals when dealing with negative powers and demonstrates calculations for powers of 2/3, including 2/3 squared and cubed. The tutorial concludes with an explanation of how to evaluate a logarithmic expression, emphasizing the importance of understanding these mathematical concepts.

What happens when you raise a fraction to a negative power?

• The fraction becomes zero.

• The fraction is multiplied by itself.

• The fraction remains unchanged.

• You take the reciprocal and raise it to the positive power.

What is the result of raising 2/3 to the zero power?

• 2/3

• 1

• 0

• 3/2

What is the result of 2/3 raised to the second power?

• 9/4

• 2/3

• 4/9

• 8/27

How do you evaluate 2/3 raised to the negative second power?

• By adding 2 to 3

• By multiplying 2/3 by itself twice

• By taking the reciprocal and raising it to the second power

• By subtracting 2 from 3

What power of 2/3 results in 9/4?

• 3

• -3

• -2

• 2