Question

Given that the cube root of 27 is 3, what is 2743

Answer 1

To find \( 27^{43} \), we can use the fact that \( 27 = 3^3 \).

Thus, we can rewrite \( 27^{43} \) as follows:

\[
27^{43} = (3^3)^{43}
\]

Using the power of a power property of exponents \( (a^m)^n = a^{mn} \), we can simplify this:

\[
(3^3)^{43} = 3^{3 \times 43} = 3^{129}
\]

Therefore, \( 27^{43} = 3^{129} \).

This means \( 27^{43} = 3^{129} \), and while we can compute \( 3^{129} \) if needed, the expression in terms of powers of 3 is often sufficient unless a numerical value is required.