Find the numerical equivalent of 3^9 * 3^-5

Answer 1

To find the numerical equivalent of 3^9 * 3^-5, we can simplify the expression by applying the rule of exponents that states when multiplying exponents with the same base, you can add their powers.

Let's calculate the powers separately:

3^9 = 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 = 19683

3^-5 = 1 / (3^5) = 1 / (3 * 3 * 3 * 3 * 3) = 1 / 243

Now, multiply the two results together:

19683 * (1 / 243) = 19683 / 243 = 81

Therefore, the numerical equivalent of 3^9 * 3^-5 is 81.