Giải Bài tập 1 trang 13 Toán 11 tập 2 Chân trời

a) $\left ( \frac{3}{4} \right )^{-2}.3^{2}.12^{0}=\frac{1}{\left ( \frac{3}{4} \right )^{2}}.9.1 = \frac{1}{\frac{9}{16}}.9 = \frac{16}{9}.9=16$

b) $\left ( \frac{1}{12} \right )^{-1}.\left ( \frac{2}{3} \right )^{-2} = \frac{1}{\frac{1}{12}}.\frac{1}{\left ( \frac{2}{3} \right )^{2}}=12.\frac{1}{\frac{4}{9}}=12.\frac{9}{4}=27$

c) $(2^{-2}.5^{2})^{-2}:(5.5^{-5})=\left ( \frac{1}{2^{2}}.5^{2} \right )^{-2}:\left ( 5.\frac{1}{5^{5}} \right )=\left ( \frac{5^{2}}{4} \right )^{-2}:\frac{1}{5^{4}}$

$= \frac{1}{\left ( \frac{5^{2}}{4} \right )^{2}}.5^{4}=\frac{1}{\frac{5^{4}}{16}}.5^{4}=\frac{16}{5^{4}}.5^{4}=16$