Question

Tính:

a)\([\left(-\frac{1}{2}\right)^3-\left(\frac{3}{4}\right)^3\cdot\left(-2\right)^2]:[2\cdot\left(-1\right)^5+\left(\frac{3}{4}\right)^2-\frac{3}{8}\)

b)\([\left(\frac{4}{3}\right)^{-2}\left(\frac{3}{4}\right)^4]:\left(\frac{3}{2}\right)^6\)

help me!!!!!!!!!!!!!!

Answer 1

\(a,\left[\left(-\frac{1}{2}\right)^3-\left(\frac{3}{4}\right)^3.\left(-2\right)^2\right]:\left[2.\left(-1\right)^5+\left(\frac{3}{4}\right)^2-\frac{3}{8}\right]\)

\(=\left[\left(-\frac{1}{8}\right)-\frac{27}{64}.4\right]:\left[2.\left(-1\right)+\frac{9}{16}-\frac{3}{8}\right]\)

\(=\left[\left(-\frac{1}{8}-\frac{27}{16}\right)\right]:\left[-2+\frac{9}{16}-\frac{3}{8}\right]\)

\(=\frac{-2-27}{16}:\frac{-32+9-6}{16}\)

\(=-\frac{29}{16}:\frac{-29}{16}=1\)

\(b,\left[\left(\frac{4}{3}\right)^{-2}\left(\frac{3}{2}\right)^4\right]:\left(\frac{3}{2}\right)^6\)

\(=\left(\frac{9}{16}.\frac{81}{16}\right):\frac{729}{64}\)

\(=\frac{729}{64}:\frac{729}{64}=1\)