6)
a)\(\dfrac{6^2.6^3}{3^5}=\dfrac{6^5}{3^5}=(\dfrac{6}{3})^5=2^5=32\)
b)\(\dfrac{25^2.4^2}{5^2.\left(-2\right)^5}=\dfrac{\left(5^2\right)^2.\left(-2\right)^2}{5^2.\left(-2\right)^5}=\dfrac{5^2.5^2.\left(-2\right)^2}{5^2.\left(-2\right)^2.\left(-2\right)^3}=\dfrac{5^2}{\left(-2\right)^3}=-\dfrac{25}{8}=-3\dfrac{1}{8}\)
c) \(\dfrac{\left(0,125\right)^5.\left(2,4\right)^5}{\left(-0,3\right)^5.\left(0.01\right)^5}=\dfrac{\left(0,125.2,4\right)^5}{\left(-0,3.0,01\right)^5}=\left(\dfrac{0,125.2,4}{-0,3.0,01}\right)^5=\left(\dfrac{0,3}{-0.0003}\right)^5=\left(-100\right)^5=-10000000000\)d)\((-2\dfrac{3}{4}+\dfrac{1}{2})^2=\left(\dfrac{-11}{4}+\dfrac{2}{4}\right)^2=\dfrac{-9}{4}^2=\dfrac{81}{16}=5\dfrac{1}{16}\)
bạn ơi đây là bài 6 nhé! Chúc bạn học tốt bài 7 ở duwosi nha!Hihi!
Bài 7:
a)\(\left(\dfrac{1}{3}\right)^m=\dfrac{1}{81}\) \(\Rightarrow\left(\dfrac{1}{3}\right)^m=\left(\dfrac{1}{3}\right)^4\)
\(\Rightarrow m=4\)
Vậy m=4
b)\(\left(\dfrac{3}{5}\right)^n=\left(\dfrac{9}{25}\right)^5\) \(\Rightarrow\left(\dfrac{3}{5}\right)^n=\left(\left(\dfrac{3}{5}\right)^2\right)^5\) \(\Rightarrow\left(\dfrac{3}{5}\right)^n=\left(\dfrac{3}{5}\right)^{10}\)
\(\Rightarrow n=10\)
Vậy n=10
c) \(\left(-0.25\right)^p=\dfrac{1}{256}\) \(\Rightarrow\left(-\dfrac{1}{4}\right)^p=\left(-\dfrac{1}{4}\right)^4\) \(\Rightarrow p=4\)
Vậy p=4
Xong rồi nha bạn! chwusc bạn học tốt nha
À mà này tớ làm đúng với cả nhanh nhất đó à nha nhwos ticks tớ đấy!Không được quên nha!hihi