Simplify 4^13÷3^(-5).

1 answer

To simplify this expression, we can use the rule that says "a^m ÷ a^n = a^(m - n)" when the bases are the same.

In this case, the bases are 4 and 3. So we have:
4^13 ÷ 3^(-5) = 4^(13 - (-5))

Simplifying the exponent, we get:
4^(13 - (-5)) = 4^(13 + 5)

Evaluating the exponent, we get:
4^(13 + 5) = 4^18

So the simplified expression is 4^18.