Breaking down the towers

Algebra Level 1

Which of the following equations is true?

2^{2^2} = 2^2 \times 2^2

4^{4^4} =4 ^4 \times 4^4\times 4^4\times 4^4

3^{3^3} =3 ^3 \times 3^3\times 3^3

1 solution

Zach Abueg
Mar 28, 2017

$\large a^{b^c}$ is evaluated as $\large a^{(b^c)}$

$\large 2^{2^2} = 2^4$

$\large 2^2 \times 2^2 = (2^2)^2 = 2^4$

Thus, $\large 2^{2^2} = 2^2 \times 2^2$