`@` `\text {Ans}`
`\downarrow`
`a)`
`(-2/3)^2*(-2/3)`
`= (-2/3)^3 = -8/27`
`b)`
`(-2/5)^3 \div -2/5`
`= (-2/5)^2 = 4/25`
`c)`
`(1,5)^5 \div (1,5)^2`
`= (1,5)^3 = 3,375`
`d)`
`(0,25)^3*(0,25)^2`
`= (0,25)^5 = 1/1024`
`a,=((-2)/3)^3=(-2)^3/3^3=-8/27`
`b,=((-2)/5)^2=(-2)^2/(5^2)=4/25`
`c,=(1,5)^3=(3/2)^3=3^3/2^3=27/8`
`d,=(0,25)^5=(1/4)^5=1^5/4^5=1/1024`
\(a)\left(\dfrac{-2}{3}\right)^2\cdot\dfrac{-2}{3}\\ =\dfrac{\left(-2\right)^2}{3^3}\cdot\dfrac{-2}{3}\\ =\dfrac{4}{9}\cdot\dfrac{-2}{3}\\ =\dfrac{-8}{27}\\ b)\left(\dfrac{-2}{5}\right)^3\cdot\dfrac{-2}{5}\\ =\dfrac{\left(-2\right)^3}{5^3}\cdot\dfrac{-2}{5}\\ =\dfrac{-8}{125}\cdot\dfrac{-2}{5}\\ =\dfrac{16}{625}\\ c)\left(1,5\right)^5:\left(1,5\right)^2\\ =\left(1,5\right)^{5-2}\\ =\left(1,5\right)^3\\ =\left(\dfrac{3}{2}\right)^3\\ =\dfrac{3^3}{2^3}\\ =\dfrac{27}{8}\\ d)\left(0,25\right)^3.\left(0,25\right)^2\\ =\left(0,25\right)^{3+2}\\ =\left(0,25\right)^5\\ =\left(\dfrac{1}{4}\right)^5\\ =\dfrac{1^5}{4^5}\\ =\dfrac{1}{1024}\)
