\(\left(\dfrac{1}{2}\right)^2.\left(\dfrac{1}{2}\right)^6=\left(\dfrac{1}{2}\right)^8\)
\(\left[\left(\dfrac{1}{2}\right)^4\right]^2=\left(\dfrac{1}{2}\right)^{4.2}=\left(\dfrac{1}{2}\right)^8\)
\(\Rightarrow\left(\dfrac{1}{2}\right)^2.\left(\dfrac{1}{2}\right)^6=\left[\left(\dfrac{1}{2}\right)^4\right]^2\)
\(\left(\dfrac{1}{2}\right)^2\times\left(\dfrac{1}{2}\right)^6\\ =\left(\dfrac{1}{2}\right)^{2+6}\\ =\left(\dfrac{1}{2}\right)^8\)
`***************`
\(\left[\left(\dfrac{1}{2}\right)^4\right]^2\\ =\left(\dfrac{1}{2}\right)^{4\cdot2}\\ =\left(\dfrac{1}{2}\right)^8 \)
`->(1/2)^2 xx(1/2)^6 =[(1/2)^4]^2`
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