Question

a) 65. 48 + 35 . 48 + 12 . 58 - 12 .  38

b) 2018⁰ + { 15² : [ 175 - ( 2³ . 5² - 6 . 25 ) ] }

Answer 1

a: \(65\cdot48+35\cdot48+12\cdot58-12\cdot38\)

\(=48\left(65+35\right)+12\left(58-38\right)\)

\(=48\cdot100+12\cdot20\)

\(=4800+240=5040\)

b: \(2018^2+\left\{15^2:\left[175-\left(2^3\cdot5^2-6\cdot25\right)\right]\right\}\)

\(=1+\left\{\dfrac{225}{175-\left(8\cdot25-150\right)}\right\}\)

\(=1+\dfrac{225}{175-\left(200-150\right)}\)

\(=1+\dfrac{225}{175-50}=1+\dfrac{225}{125}=1+\dfrac{5}{3}=\dfrac{8}{3}\)