Understanding Exponents and Comparisons

The video tutorial explores a mathematical problem of comparing two expressions with exponents. It begins by expressing the exponents as products and then applies exponent properties to simplify the expressions. The tutorial calculates the powers of the numbers involved and concludes by comparing the final expressions, determining that the expression with the greater base is larger when the exponents are the same.

What is the prime factorization of 22?

• 11 x 11

• 3 x 11

• 2 x 3

• 2 x 11

How can 5 to the power of 22 be rewritten using exponent properties?

• 5 to the 11th squared

• 5 cubed to the 11th

• 5 to the 11th cubed

• 5 squared to the 11th

What is the result of 3 cubed?

• 243

• 81

• 27

• 9

Which expression is greater when comparing 25 to the 11th and 27 to the 11th?

• 25 to the 11th

• Cannot be determined

• Both are equal

• 27 to the 11th

Why is 27 to the 11th greater than 25 to the 11th?

• Because 25 is a smaller base

• Because 27 is a smaller base

• Because 11 is a larger exponent

• Because 27 is a larger base than 25