To simplify the expression 4^13 / 3^-5, we can use the rule that states a^-n is equal to 1 / a^n.
Therefore, 4^13 / 3^-5 is equal to 4^13 * (1 / 3^-5).
To further simplify, we can rewrite 1 / 3^-5 as (3^5)^-1. This is the same as 3^-5 since a^(-n) is equal to 1 / a^n.
So, 4^13 * (1 / 3^-5) becomes 4^13 * 3^-5.
Now, 4^13 can be rewritten as (2^2)^13, which is equal to 2^26 since when raising a power to another power, we multiply the exponents.
Thus, the expression becomes 2^26 * 3^-5.
We can't simplify this expression any further since the bases (2 and 3) are different.
Therefore, the simplified form of 4^13 / 3^-5 is 2^26 * 3^-5.
simplify
4^13 / 3^-5
1 answer