Final answer:
To determine which of the given numbers are squares of odd numbers, we analyze whether the exponents are even or odd. Option a. a¹²¹, b. b²²⁵, and e. e⁵²⁹ are squares of odd numbers.
Step-by-step explanation:
To find out which of the given numbers are squares of odd numbers, we need to determine if the exponent of each given number is even or odd. If the exponent is odd, then the number is a square of an odd number.
Let's analyze each option:
- a. a¹²¹ - The exponent 121 is odd, so a¹²¹ is a square of an odd number.
- b. b²²⁵ - The exponent 225 is odd, so b²²⁵ is a square of an odd number.
- c. c¹⁹⁶ - The exponent 196 is even, so c¹⁹⁶ is not a square of an odd number.
- d. d⁴⁸⁴ - The exponent 484 is even, so d⁴⁸⁴ is not a square of an odd number.
- e. e⁵²⁹ - The exponent 529 is odd, so e⁵²⁹ is a square of an odd number.
Therefore, the square of odd numbers among the given options are a. a¹²¹, b. b²²⁵, and e. e⁵²⁹.