Question

simplify: sqrt[3]{x^2y^{3/2}}

Answer 1

\[\sqrt[3]{x^2Y^(3/2)}\]

Answer 2

the y is raised to 3/2

Answer 3

^{...}, not ^(...) for latex

Answer 4

one property that we need to use is\[\sqrt[n]{...}=(...)^{1/n}\]

Answer 5

\[\sqrt[3]{x^2y^{3/2}}\]

Answer 6

another property is:\[(a^p)^q=a^{pq}\]

Answer 7

yw .... let me know how well you can apply those properties, and ill let you know if its correct :)

Answer 8

i don't get this at all :(

Answer 9

\[\sqrt[3]{x^2y^{3/2}}\]
lets start by getting rid of that umbrella and changing it into an exponent 1/3, thats the first property i stated
\[\Large (x^2y^{3/2})^{1/3}\]
now we can use the second property, the exponent of an exponent get multiplied
\[\Large x^{2/3}~y^{3/(2*3)}\]
now lets reduce the fractions
\[\Large x^{2/3}~y^{1/2}\]
now depending on what a "simplified" form is spose to look like, they might want you to stick an umbrella over them again .... indexed by the denominator of the exponents
\[\Large \sqrt[3]{x^{2}}~\sqrt{y}\]