Write the expression n * n * n * n * n * n using an exponent. Name the base and the exponent.
n^6
The expression n * n * n * n * n * n can be written using an exponent as n^6. In this expression, n is the base, and 6 is the exponent.
To understand how to arrive at this result, let's break it down step by step:
1. Start with the original expression: n * n * n * n * n * n.
2. We can group the n's together and count how many there are: n * n * n * n * n * n = n^6.
3. Since multiplication is repetitive addition, we can rewrite n * n * n * n * n * n as n + n + n + n + n + n, which represents adding n six times.
4. By applying the exponent rule, we simplify n + n + n + n + n + n to n^6, which means multiplying n by itself six times.
Therefore, the expression n * n * n * n * n * n is equivalent to n^6, with n as the base and 6 as the exponent.