Question

(1/2)x 2 = (1/16) 3​

Answer 1

Following are the steps for getting an answer :

Given:

$\frac{1}{2}x^2=(\frac{1}{16}) ^3$

to find:

value of x

Solution :

we have to solve the $\frac{1}{2}x^2=(\frac{1}{16}) ^3$

so,

$\frac{1}{2}x^2=(\frac{1}{16}) ^3$

$\frac{1}{2}x^2=\frac{1}{16}\times\frac{1}{16}\times\frac{1}{16} \\\\\frac{1}{2}x^2=\frac{1}{16\times16\times16}\\\\\frac{1}{2}x^2=\frac{1}{4096}$

now, transfer 1/6 on the right-hand side

$x^2=\frac{1}{4096} -\frac{1}{2}\\\\x^2=\frac{2-4096}{8192}\\\\x^2=-0.49\\\\x=\sqrt{0.49} \\\\x=0.7$

Thus, the answer is x=0.7