This paper revolves around systems of quadratic forms, their conditions for isotropy and the implications on the existence of certain splitting fields of central simple algebras of 2-power degrees. The authors start by showing that every system of \(r\) quadratic forms in more than\(\frac{r(r+1)}{2}\) variables has a generalized 2-extension of degree at most \(2^r\) that makes it isotropic (Theorem 2.1). As a result, they conclude that if \(K/F\) is a field extension of degree \(r\) and \(\varphi\) is a quadratic form of dimension at least \(\max(3,\frac{r}{2})\) over \(K\) then there exists a generalized 2-extension \(F'/F\) of degree at most \(2^r\) such that \(\varphi_{K.F'}\) is isotropic (Proposition 2.5). Under the assumption that \(\operatorname{char}(F)\neq 2\), the authors prove that if \(K/F\) is a field extension of degree at most 8 and \(Q\) is a quaternion \(K\)-algebra, then there exists a 2-extension \(F'/F\) of degree at most \(2^{[K:F]}\) such that \(Q_{K.F'}\) is split (Theorem 3.2). They conclude the paper with Theorem 5.5, which states that if \(A\) is a central simple algebra of index 16, then \(A\) is split by a 2-extension of degree at most \(2^{16}\), and if in addition we assume the exponent of \(A\) is 2, the bound on the necessary degree goes down to \(2^{11}\).