Question

tính

a) \(A=\dfrac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)

b) \(B=\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

Answer 1

a) \(A=\dfrac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)

\(A=\dfrac{11.3^{29}-3^{30}}{2^2.3^{28}}\)

\(A=\dfrac{11.3^{29}-3^{29}.3}{2^2.3^{28}}\)

\(A=\dfrac{3^{29}.\left(11-3\right)}{2^2.3^{28}}\)

\(A=\dfrac{3^{29}.8}{2^2.3^{28}}\)

\(A=\dfrac{3.8}{4}=6\)

vậy \(A=6\)

b) \(B=\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

\(B=\dfrac{3^2.\left(2^2\right)^2.\left(2^{16}\right)^2}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)

\(B=\dfrac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)

\(B=\dfrac{3^2.2^{36}}{11.2^{35}-2^{35}.2}\)

\(B=\dfrac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)

\(B=\dfrac{3^2.2^{36}}{2^{35}.9}\)

\(B=\dfrac{3^2.2}{9}\)

\(B=\dfrac{9.2}{9}\)

\(B=2\)

vậy \(B=2\)