Question

Answer 1

a: \(=\dfrac{3^5\cdot2^5\cdot2^{12}\cdot2^6\cdot5^6}{2^{30}\cdot3^{10}\cdot5^{16}}\)

\(=\dfrac{3^5\cdot2^{23}\cdot5^6}{3^{10}\cdot2^{30}\cdot5^{16}}=\dfrac{1}{3^5\cdot2^7\cdot5^{10}}\)

b: \(=\dfrac{3^3\left(2^3+2^2+1\right)}{-15}=\dfrac{3^3\cdot\left(13\right)}{-15}=\dfrac{-27\cdot13}{15}=\dfrac{-9\cdot13}{5}=-\dfrac{117}{5}\)

Answer 2

`a, (2^5 . 3^5 . 2^12 . 2^6 . 5^6)/(2^30 . 3^10 . 5^16)`

`= 1/(3^5 . 2^7 . 5^10`

`b, = (-27 . 13)/15`

`= (-9.13)/5`

`= -117/5`