Question

Answer 1

a: \(8^2=\left(2^3\right)^2=2^{3\cdot2}=2^6\)

\(\left(4\cdot2^5\right):16=2^2\cdot2^5:2^4=2^{2+5-4}=2^3\)

b: \(\left(0,09\right)^3=\left\lbrack\left(\frac{9}{100}\right)^3\right\rbrack=\left\lbrack\left(\frac{3}{10}\right)^2\right\rbrack^3=\left(\frac{3}{10}\right)^6\)

\(\left(\frac{3}{10}\right)^8:\left(0,027\right)^2=\left(\frac{3}{10}\right)^8:\left(\frac{3}{10}\right)^6=\left(\frac{3}{10}\right)^2\)