Simplify the expression

(3^2 * 3^7)^5

1 answer

To simplify the expression, first remember the rule for multiplying exponents with the same base: when you multiply two exponential expressions with the same base, you add the exponents.

In this case, we have (3^2 * 3^7)^5.

First, simplify the expression inside the parentheses:
3^2 * 3^7 = 3^(2+7) = 3^9.

Now, we have (3^9)^5. To simplify this further, we multiply the exponents:
3^9 * 5 = 3^45.

Therefore, the simplified expression is 3^45.