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