Question

c) 7/23 x [(-8/6) - 45/18]

d) 23 1/4: 7/5 - 13 1/4 : 5/7

e) 2⁵ x 15³ / 6³ x 10²

l) (1/3)¹⁰ x (9)²⁵ - (2/3)¹⁰ : (4/9)⁵

i) (-5)⁷ x (-1/5)⁷ + 0.5⁶ x (-2)⁶

Answer 1

c: \(=\dfrac{7}{23}\cdot\left(\dfrac{-4}{3}-\dfrac{5}{2}\right)=\dfrac{7}{23}\cdot\dfrac{-8-15}{6}\)

\(=\dfrac{7}{23}\cdot\dfrac{-23}{6}=-\dfrac{7}{6}\)

d: \(=\dfrac{5}{7}\left(23+\dfrac{1}{4}-13-\dfrac{1}{4}\right)=\dfrac{5}{7}\cdot10=\dfrac{50}{7}\)

e: \(=\dfrac{2^5\cdot3^3\cdot5^3}{2^3\cdot3^3\cdot2^2\cdot5^2}=5\)

i: \(=\dfrac{1}{3^{10}}\cdot3^{50}-\dfrac{2^{10}}{3^{10}}:\dfrac{4^5}{3^{10}}\)

\(=3^{40}-1\)