Find the numerical equivalent of 3^(9) . 3^(-5)
To find the numerical equivalent of 3^9 . 3^(-5), we can use the rule of exponents that states when multiplying two powers with the same base, we add their exponents. Therefore, we have:
3^9 . 3^(-5) = 3^(9 + (-5)) = 3^(4)
Calculating 3 to the power of 4 gives us:
3^4 = 3 × 3 × 3 × 3 = 81
So, the numerical equivalent of 3^9 . 3^(-5) is 81.