Comparing Exponential Expressions and Properties

The video tutorial explores which is greater: 3^75 or 2^100. It begins by expressing 75 as 3 times 25 and 100 as 4 times 25, allowing the use of exponent properties to simplify the expressions. By rewriting 3^75 as (3^3)^25 and 2^100 as (2^4)^25, the bases 27 and 16 are compared, leading to the conclusion that 27^25 is greater than 16^25.

What is the initial problem presented in the video?

• Multiplying 3 to the power of 75 by 2 to the power of 100

• Dividing 3 to the power of 75 by 2 to the power of 100

• Finding the sum of 3 to the power of 75 and 2 to the power of 100

• Comparing 3 to the power of 75 and 2 to the power of 100

How is 75 expressed in terms of multiplication?

• 15 times 5

• 3 times 25

• 5 times 15

• 25 times 3

What exponent property is used to rewrite 3 to the power of 75?

• 3 squared to the power of 25

• 3 cubed to the power of 25

• 3 to the fifth to the power of 25

• 3 to the fourth to the power of 25

What is the simplified form of 3 cubed?

• 27

• 18

• 9

• 36

Which base is larger when comparing 27 to the power of 25 and 16 to the power of 25?

• Cannot be determined

• Both are equal

• 27

• 16