Question

So sánh (1/2)²×(1/2)⁶ và [(1/2)⁴]² Em cần gấp tối nay ạ Cảm ơn trc!

Answer 1

\(\left(\dfrac{1}{2}\right)^2.\left(\dfrac{1}{2}\right)^6=\left(\dfrac{1}{2}\right)^8\)

\(\left[\left(\dfrac{1}{2}\right)^4\right]^2=\left(\dfrac{1}{2}\right)^{4.2}=\left(\dfrac{1}{2}\right)^8\)

\(\Rightarrow\left(\dfrac{1}{2}\right)^2.\left(\dfrac{1}{2}\right)^6=\left[\left(\dfrac{1}{2}\right)^4\right]^2\)

Answer 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`