Simplify 4^13÷3^−5

To simplify this expression, we can rewrite it as:

4^13 / 3^-5

Since a negative exponent indicates the reciprocal of the base raised to the positive exponent, we have:

4^13 / (1 / 3^5)

Simplifying further, we can multiply the numerator and denominator by 3^5:

4^13 * 3^5 / 1

Now, we can simplify the expression by performing the exponentiation and multiplication:

(4^13) = (2^2)^13 = 2^26
(3^5) = 3^5

Thus, the simplified expression is:

2^26 * 3^5, or 2,026,277,608 * 243