Question

Answer 1

b: \(\left(-\frac23\right)^4:4^2=\frac{\left(-2\right)^4}{3^4}:4^2=\frac{16}{81}\cdot\frac{1}{16}=\frac{1}{81}\)

c: \(\left(\frac23\right)^4\cdot9^2=\frac{2^4}{3^4}\cdot3^4=2^4=16\)

d: \(\left(\frac12\right)^3\cdot\left(\frac14\right)^2=\left(\frac12\right)^3\cdot\left(\frac12\right)^4=\left(\frac12\right)^7\)

g: \(\frac{8^{14}}{4^{12}}=\frac{\left(2^3\right)^{14}}{\left(2^2\right)^{12}}=\frac{2^{42}}{2^{24}}=2^{18}\)