\(\dfrac{\left(-\dfrac{5}{7}\right)^{n+1}}{\left(-\dfrac{5}{7}\right)^n}=\left(-\dfrac{5}{7}\right)^{n+1}:\left(-\dfrac{5}{7}\right)^n\\ =\left(-\dfrac{5}{7}\right)\)
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\(\dfrac{\left(-\dfrac{5}{7}\right)^{n+1}}{\left(-\dfrac{5}{7}\right)^n}=\left(-\dfrac{5}{7}\right)^{n+1}:\left(-\dfrac{5}{7}\right)^n\\ =\left(-\dfrac{5}{7}\right)\)
\(\dfrac{\left(\dfrac{-5}{7}\right)^n}{\left(\dfrac{-5}{7}\right)^{n-1}}\left(n\ge1\right)\) Tính
b) \(\dfrac{\left(-\dfrac{1}{2}\right)^{2n}}{\left(-\dfrac{1}{2}\right)^n}\left(n\in N\right)\)
Tính m , n ,p biết :
a) \(\left(\dfrac{1}{3}\right)^m=\dfrac{1}{81}\) b) \(\left(\dfrac{3}{5}\right)^n=\left(\dfrac{9}{25}\right)^5\)
c) \(\left(-0,25\right)^p=\dfrac{1}{256}\)
bài 1 tính
a/ \(\left|1\dfrac{1}{2}-2\dfrac{1}{3}\right|^2+\left|1-\dfrac{5}{4}\right|\)
b/\(\left|\left(-1\right)^{100}-2\dfrac{1}{3}\right|+\dfrac{5}{6}\)
c/\(\left|\left(\dfrac{2}{3}\right)^{-1}-\dfrac{7}{4}\right|-\dfrac{7}{4}\)
d/ \(\left|x-5\right|+\left|x-8\right|\) với 5 \< x>/
2) tìm số tự nhiên n biết:
\(\left(\dfrac{1}{3}\right)^n=\dfrac{1}{27};\left(\dfrac{3}{5}\right)^n=\dfrac{81}{625}\)
lũy thừa | cơ số | cơ số | giá trị của lũy thừa |
\(\left(\dfrac{4}{5}\right)^n\) | ... | ... | \(\left(\dfrac{4}{5}\right)^n\)=\(\dfrac{...^n}{...^n}\) |
\(\left(\dfrac{...}{...}\right)^{...}\) | ... | ... | \(\left(\dfrac{-3}{4}\right)^n\)=\(\dfrac{\left(...\right)^n}{...^n}\) |
\(\left(\dfrac{5}{-7}\right)^n\) | ... | ... | ...... |
điền vào chôc chấm trong băng trên đây:
Tính hợp lí: \(\left(\dfrac{3}{7}\right)^5\times\left(\dfrac{7}{3}\right)^{-1}\times\left(\dfrac{5}{3}\right)^6\div\left(\dfrac{343}{625}\right)^{-2}\)
1,Tìm x,biết
a,\(\left(-1\dfrac{3}{5}+x\right)\div\dfrac{12}{13}=2\dfrac{1}{6}\)
b,\(\dfrac{-4}{7}x+\dfrac{7}{5}=\dfrac{1}{8}\div\left(-1\dfrac{2}{3}\right)\)
Tìm x,y biết
a.\(\left(x-7\right)^{x+1}-\left(x-7\right)^{x+1}=0\)
b.\(\dfrac{5x-1}{3}=\dfrac{7y-6}{5}=\dfrac{5x+7y-7}{4x}\)
c.\(\left|x+5\right|+\left(3y-4\right)^{2017}=0\)
Tính :
a) \(25^3:5^2\)
b) \(\left(\dfrac{3}{7}\right)^{21}:\left(\dfrac{9}{49}\right)^6\)
c) \(3-\left(-\dfrac{6}{7}\right)^0+\left(\dfrac{1}{2}\right)^2:2\)