![\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\10\sqrt{2}y^2\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad\mathrm{\:assuming\:}a\ge 0,\:b\ge 0=\sqrt{200}\sqrt{y^4}=10\sqrt{2}\sqrt{y^4}\mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=\left(a^b\right)^cy^4=y^{2\cdot \:2}=\left(y^2\right)^2=10\sqrt{2}\sqrt{\left(y^2\right)^2}\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0\sqrt{\left(y^2\right)^2}=y^2=10\sqrt{2}y^2](/tpl/images/1874/0895/4d387.png)
Pls help this is a test :)))
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