simplify 4^13 ÷ 3^-5

Answer 1

To simplify this expression, we can use the rule of exponents which states:

a^m ÷ a^n = a^(m - n)

Therefore, 4^13 ÷ 3^-5 can be simplified to:

4^13 ÷ 3^-5 = 4^13 × 3^5

Now, we can calculate the values:

4^13 = 67,108,864

3^5 = 243

Therefore, the simplified expression is:

67,108,864 × 243 = 16,302,983,872.