Question

Find the area of the figure. Write the answer is radical form

Answer 1

`Answer:\ S=96\sqrt[4]{x^9}`

Explanation:

`\displaystyle\\(4x)^(3)/(2)=\\\\ (2^2x)^(3)/(2) =\\\(2^2)^(3)/(2) x^(3)/(2) =\\\\2^(2*3)/(2) x^(3)/(2) \\\\2^3x^(3)/(2)=\\\\8x^(3)/(2)`

Thus,

`S=8x^(3)/(2) *12x^(3)/(4)\\\\ S=8*12x^{(3)/(2) +(3)/(4)} \\\\S=96x^(3*2+3)/(4) \\\\S=96x^(6+3)/(4) \\\\S=96x^(9)/(4) \\\\S=96\sqrt[4]{x^9}`