Simplify 4^13÷3^-5 in exponential form

Answer 1

To simplify this expression, we can convert both 4^13 and 3^-5 into exponential form.

4^13 = (2^2)^13
= 2^(2*13)
= 2^26

3^-5 = 1/(3^5)
= 1/(3^5)
= 1/(3^5)
= 1/243

Now we can rewrite the expression in exponential form:

4^13 ÷ 3^-5 = (2^26) ÷ (1/243)
= (2^26) * (243/1)
= 2^26 * 243
= 2^26 * (3^5)
= 2^26 * 3^5

Therefore, the simplified expression in exponential form is 2^26 * 3^5.