Final answer:
(n^2)^3 is simplified by cubing the digit term and multiplying the exponents, resulting in n^6. To write this without exponents, you would multiply n by itself six times.
Step-by-step explanation:
When you see an expression like (n^2)^3, you are dealing with Cubing of Exponentials. This means you will cube the digit term in the usual way, which is multiplying it by itself three times, and multiply the exponent of the exponential term by 3. Therefore, (n^2)^3 simplifies to n^6, because 2 multiplied by 3 equals 6.
In cases without exponents, such as n terms, to represent n^2, you can imagine rearranging terms to show that they sum up to 2n^2. However, with exponentials, we use this power rule for simplification: when you raise an exponent to another exponent, you multiply the exponents together to simplify the expression.
To write (n^2)^3 without exponents would require us to expand it as n^n × n^n × n^n × n^n × n^n × n^n, which means multiplying n by itself six times.