Question

Answer 1

a) \(3.27.9=3.3^3.3^2=3^6\)

b) \(\dfrac{2}{3}.\dfrac{4}{9}.\dfrac{8}{27}=\dfrac{2}{3}.\left(\dfrac{2}{3}\right)^2.\left(\dfrac{2}{3}\right)^3=\left(\dfrac{2}{3}\right)^6\)

c) \(25.5.125=5.5^2.5^3=5^6\)

d) \(2^3.4^5=2^3.\left(2^2\right)^5=2^3.2^{10}=2^{13}\)

e) \(\left(\dfrac{1}{3}\right)^4.\left(\dfrac{1}{27}\right)^{11}=\left(\dfrac{1}{3}\right)^4.\left(\dfrac{1}{3^3}\right)^{11}=\dfrac{1}{3^{37}}\)

f) \(\left(\dfrac{1}{5}\right)^7:\left(\dfrac{1}{125}\right)^8=\dfrac{1}{5^7}:\dfrac{1}{5^{24}}=5^{17}\)