Question

30 points! Numbers n, m, and k are natural numbers. Express as powers:
(3^3nk)*(3^3k)

Answer 1

To express the expression (3^3nk)*(3^3k) as powers, we can simplify by multiplying the bases and adding the exponents.

Step-by-step explanation:

To express the expression (3^3nk)*(3^3k) as powers, we can simplify by multiplying the bases and adding the exponents. In this case, the base is 3 and the exponents are 3nk and 3k. So, the simplified expression is 3^(3nk + 3k).

To further simplify, we can use the property of exponents that states when we multiply two exponential expressions with the same base, we can add their exponents. So, 3^(3nk + 3k) becomes 3^(3nk + 9k).

Therefore, the expression (3^3nk)*(3^3k) can be written as 3^(3nk + 9k).