simplify the square root of 81y^5
remember√(xy)=(√x)(√y)andx^(m+n)=(x^m)(x^n)√(81y^5)=(√81)(√y^2)(√y^2)(√y)=(9)(y)(y)(√y)=9y^2√y
\(\sqrt{81 y^{5} } = \sqrt{81} ( y^{5} )^{ \frac{1}{2} } =9 y^{ \frac{5}{2} }\)