Simplify 4 to the 13th power divided be 3 to the -5th power
To simplify the expression 4 to the 13th power divided by 3 to the -5th power, we can use the rule of exponents that states "a to the m power divided by a to the n power is equal to a to the (m-n) power".
So, 4 to the 13th power divided by 3 to the -5th power can be written as 4^13 / 3^-5.
Using the rule of exponents, we can rewrite this expression as (4^13) * (3^5).
Now, we can calculate 4^13 which is equal to 67,108,864 and 3^5 which is equal to 243.
Therefore, 4 to the 13th power divided by 3 to the -5th power simplifies to 67,108,864 / 243.
We can further simplify this by dividing 67,108,864 by 243, which gives us approximately 276,157.615.
So, 4 to the 13th power divided by 3 to the -5th power simplifies to approximately 276,157.615.