Answer:
[tex]8 y^{50}[/tex]
Step-by-step explanation:
Given (64 y Superscript 100 Baseline) Superscript one-half.
Let us write it into an equation.
[tex]\left(64 y^{100}\right)^{\frac{1}{2}}[/tex]
Apply radical rule: [tex]\sqrt[n]{a}=a^{\frac{1}{2}}[/tex] and [tex]a^{m+n}=a^m+a^n[/tex]
[tex]\begin{aligned}\left(64 y^{100}\right)^{\frac{1}{2}} &=\sqrt[2]{64 y^{100}} \\&=\sqrt[2]{8^{2} y^{50} y^{50}} \\&=\sqrt[2]{8^{2}\left(y^{50}\right)^{2}} \\&=8 y^{50}\end{aligned}[/tex]
Hence, [tex]8 y^{50}[/tex] is equivalent to (64 y Superscript 100 Baseline) Superscript one-half.
