simplify the equation: 4^13 divided by 3^-5
To simplify the equation 4^13 divided by 3^-5, we can use the property that says when dividing with the same base, we subtract the exponents. So, we can rewrite the equation as follows:
4^13 / 3^-5 = 4^13 * 3^5
Now we need to multiply the powers of 4 and 3:
4^13 * 3^5 = (2^2)^13 * 3^5 = 2^(2*13) * 3^5
For 2 to the power of 13, we can express it as 2^13 = 8192.
Therefore, the simplified equation is:
8192 * 3^5, or simply 8192 times 243.
So the final result is 1,988,096.