Decomposition of 156 in index form

Final answer: The number 156 in index form is written as the product of its prime factors raised to their respective powers, which is 2² × 3¹ × 13¹. Explanation: To express the number 156 in index form, we need to represent it as a product of its prime factors raised to their respective powers. First, we factorize 156: 156 = 2 × 78 78 = 2 × 39 39 = 3 × 13 So the prime factorization of 156 is: 156= 2× 2 × 3 × 13 This can be represented in index form as: 156 = 2² × 3¹ × 13¹