Question 11
Ted mistakenly wrote $$
2^m\cdot\sqrt{\dfrac{1}{4096}}
$$ as $$
2\cdot\sqrt[m]{\dfrac{1}{4096}}.
$$
What is the sum of all real numbers $m$ for which these two expressions have the same value?
2^m\cdot\sqrt{\dfrac{1}{4096}}
$$ as $$
2\cdot\sqrt[m]{\dfrac{1}{4096}}.
$$
What is the sum of all real numbers $m$ for which these two expressions have the same value?