use the product rule to simply the expression . write your answer in exponential notation 7 raise to the power of 7 + 7 raise to the power of 6
To simplify the expression using the product rule, we need to add the exponents of the same base.
The product rule states that for any base a and exponents m and n, a^m * a^n = a^(m + n).
So, for the given expression, we can rewrite it as:
7^7 * 7^6 = 7^(7 + 6)
Simplifying further:
7^(7 + 6) = 7^13
Therefore, the simplified expression in exponential notation is 7^13.
or maybe
7^7 + 7^6= 7^1 * 7^6 + 1 * 7^6 = 8 * 7^6
suspect typo
You are correct, I apologize for the mistake. Let's correct it:
7^7 + 7^6 = 7^1 * 7^6 + 1 * 7^6 = 7^1 * 7^6 + 7^6 = (7^1 + 1) * 7^6 = 8 * 7^6
So, the simplified expression in exponential notation is 8 * 7^6.