Question

(15^1/4/3^1/2)^-2. simplify plz answer fast.

Answer 1

Hope it will help you

Answer 2

Answer:

$\text{The simplified form is }\frac{3}{\sqrt{15}}$

Step-by-step explanation:

Given the expression

$(\frac{15^{\frac{1}{4}}}{3^{\frac{1}{2}}})^{-2}$

we have to simplify the above expression.

$(\frac{15^{\frac{1}{4}}}{3^{\frac{1}{2}}})^{-2}$

$\text{As }x^{-a}=\frac{1}{x^a}$

$=(\frac{3^{\frac{1}{2}}}{15^{\frac{1}{4}}})^{2}$

$\text{As }(\frac{x}{y})^a=\frac{x^a}{y^a}$

$=\frac{3^{\frac{1}{2}\times {2}}}{15^{\frac{1}{4}\times {2}}}$

$=\frac{3}{15^{\frac{1}{2}}}$

$=\frac{3}{\sqrt{15}}$

which is required simplified form