What is 27 to the power of 13?

27 to the power of 13, written mathematically as 27¹³, is a large number that we can calculate by breaking it down into simpler parts.

To find 27¹³, we can first express 27 in terms of its prime factors: 27 is equal to 3³. Therefore, we can rewrite 27¹³ as (3³)¹³.

Using the power of a power property in exponents, we can multiply the exponents together: (3³)¹³ = 3^{3 × 13} = 3³⁹.

Now, we need to calculate 3³⁹. While the exact number might be very large, we can conclude that:

27¹³ = 3³⁹.

Calculating 3³⁹ gives us 234,252,097,856, which is a 13-digit number. This shows how quickly exponential growth occurs!