Question

Baì 1 : Tính 

a. \(\dfrac{15^4+3.15^3-3^4}{-749}\)

b. \(\dfrac{8^{30}+4^{20}}{4^{25}+64^5}\)

c. \(\dfrac{2^{15}.9^4}{6^3.8^3}\)

d. \(\dfrac{81^{11}.3^{10}}{27^{10}.9^{15}}\)

e. \(\dfrac{45^{10}.5^{10}}{75^{10}}\)

Answer 1

a: \(=\dfrac{3^4\left(5^4+5^3-1\right)}{-749}=-3^4=-81\)

b: \(=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=\dfrac{2^{40}}{2^{30}}=2^{10}\)

c: \(=\dfrac{2^{15}\cdot3^8}{2^9\cdot2^3\cdot3^3}=2^3\cdot3^5\)

d: \(=\dfrac{3^{44}\cdot3^{10}}{3^{30}\cdot3^{30}}=\dfrac{1}{3^6}\)