use the properties of exponents to perform the following operation: 2 1/3 times 8 1/4

To solve 2 1/3 times 8 1/4 using the properties of exponents, you need to convert the mixed numbers into improper fractions.

2 1/3 can be written as (7/3)
8 1/4 can be written as (33/4)

Now, you can multiply the two fractions:
(7/3) * (33/4.

To multiply fractions, multiply the numerators together and the denominators together:

(7 * 33) / (3 * 4) = 231/12

Simplify the fraction:
231/12 can be reduced to 19 3/12 or 19 1/4.

Therefore, 2 1/3 times 8 1/4 equals 19 1/4.