Simplify 4^13 ÷ 3^-5

1 answer

To simplify 4^13 ÷ 3^-5, we can use the rule of exponents which states that dividing two powers with the same base subtracts their exponents.

Therefore, 4^13 ÷ 3^-5 simplifies to (4^13)(3^5).

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

So, 4^13 ÷ 3^-5 simplifies to 2^26 × 3^5.