find the equivalent to 3^9 x 3^-4

1 answer

To find the equivalent of 3^9 × 3^-4, we can use the rule of exponents that states when multiplying powers with the same base, we add the exponents.

So, 3^9 × 3^-4 can be simplified as 3^(9 + (-4)).

And 9 + (-4) equals 5.

Thus, the equivalent of 3^9 × 3^-4 is 3^5.