Final answer:
The expression 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 is equivalent to the exponential form 1^8, where the base is 1 and the exponent denotes the number of times 1 is multiplied by itself, which is 8 in this case.
Step-by-step explanation:
The student's question requires converting the repeated multiplication of 1s into exponential form. In mathematics, especially in the context of exponential arithmetic, when you multiply a number by itself repeatedly, you write it as an exponential expression. In this question, 1 is being multiplied by itself multiple times. Using exponent rules, we know that any non-zero number to the power of 0 is 1, which is the multiplicative identity. However, in this case, since we have repeated multiplication of 1s, we can use the fact that any number, including 1, raised to the power of n where n is the count of repetitions, represents the multiplication being performed. For example, 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 is equivalent to 18 where the base is 1, and the exponent is 8, indicating that 1 is multiplied by itself 8 times.