Answer:
[tex]z = \pm 0.8[/tex]
Step-by-step explanation:
using exponent rule:
[tex]\sqrt[n]{a^n} = a[/tex]
Solve the equation:
[tex]z^2 = 0.64[/tex]
We can write 0.64 as:
[tex]0.64 = 0.8 \cdot 0.8 = (0.8)^2[/tex]
then;
[tex]z^2 = (0.8)^2[/tex]
Taking square root both sides we have;
[tex]\sqrt{z^2} = \pm \sqrt{0.8^2}[/tex]
Apply the exponent rules we have;
[tex]z = \pm 0.8[/tex]
