Answer:
[tex]8y^{50}[/tex]
Step-by-step explanation:
This expression is equal :
[tex]{(64y^{100})}^{\frac{1}{2}}[/tex]
Here we can use this rule :
[tex](a^mb^n)^y=a^{my}b^{ny}[/tex]
Now, 64 we can write like : [tex]8^2[/tex]
[tex](8^2y^{100})^{\frac{1}{2}}[/tex]
Now we can use our rule :
[tex]8^{2*\frac{1}{2}}y^{100*\frac{1}{2}[/tex]
When we simplify, we have :
8y^{50}
