Question

1.Thực hiện phép tính:

(1/3)⁵⁰.(-9)²⁵-2/3:4

mik đag cần gấp câu này m.n giải jup mik.

Answer 1

\(\left(\dfrac{1}{3}\right)^{50}.\left(-9\right)^{25}-\dfrac{2}{3}:4\)

\(=\left(\dfrac{1}{3}\right)^{50}.\left[\left(-3\right)^2\right]^{25}-\dfrac{2}{3}.\dfrac{1}{4}\)

\(=\left(\dfrac{1}{3}\right)^{50}.\left(-3\right)^{50}-\dfrac{2}{12}\)

\(=\left[\dfrac{1}{3}.\left(-3\right)\right]^{50}-\dfrac{1}{6}\)

\(=\left(-1\right)^{50}-\dfrac{1}{6}\)

\(=1-\dfrac{1}{6}\)

\(=\dfrac{6}{6}-\dfrac{1}{6}\)

\(=\dfrac{5}{6}\)

Answer 2

\(\left(\dfrac{1}{3}\right)^{50}\cdot\left(-9\right)^{25}-\dfrac{2}{3}:4=\)

=\(\dfrac{1}{3^{50}}\cdot\left(-9\right)^{25}-\dfrac{2}{3}\cdot\dfrac{1}{4}\)

=\(\dfrac{\left(-9\right)^{25}}{9^{25}}-\dfrac{1}{6}\)

=\(-1-\dfrac{1}{6}\)

=\(-\dfrac{6}{6}-\dfrac{1}{6}\)

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