Simplify 4 to the power of 13 ÷ 3 to the power of −5
To simplify this expression, we follow these steps:
Starting with 4 to the power of 13 (4^13):
4^13 = (2^2)^13 = 2^(2×13) = 2^26
Now, let's simplify the second part of the expression:
3 to the power of -5 (3^-5):
3^-5 = 1/(3^5) = 1/243
Now, let's combine the two parts of the expression:
(2^26)/(1/243) = (2^26) * (243/1) = 2^26 * 243
The simplified expression is 2^26 * 243.