20. $left(left(\frac{4}{5}\right)^{0}cdotleft(\frac{4}{5}\right)^{1}\right)^{2}$

20. $left(left(\frac{4}{5}\right)^{0}cdotleft(\frac{4}{5}\right)^{1}\right)^{2}$

20. $left(left(\frac{4}{5}\right)^{0}cdotleft(\frac{4}{5}\right)^{1}\right)^{2}$

Answer

Explanation:

Step1: Calculate exponents

Any non - zero number to the power of 0 is 1, so $(\frac{4}{5})^0 = 1$, and $(\frac{4}{5})^1=\frac{4}{5}$. Then $(\frac{4}{5})^0\cdot(\frac{4}{5})^1=1\times\frac{4}{5}=\frac{4}{5}$.

Step2: Square the result

$(\frac{4}{5})^2=\frac{4}{5}\times\frac{4}{5}=\frac{16}{25}$

Answer:

$\frac{16}{25}$