a \(\dfrac{1}{6}^7;b,\dfrac{2}{7}^{10};c\dfrac{6}{5}^{11}\)
\(a\dfrac{11}{4};b\dfrac{4}{9}^4;c1^{ }\)
2:
a: =(11/4)^12-11=11/4
b: =(4/9)^(9-5)=(4/9)^4=256/6561
c: =(13/6)^(6-6)=1
Bài 1.
\(a,\left(\dfrac{1}{6}\right)^5\cdot\left(\dfrac{1}{6}\right)^2=\left(\dfrac{1}{6}\right)^{5+2}=\left(\dfrac{1}{6}\right)^7\)
\(b,\left(\dfrac{2}{7}\right)^7\cdot\left(\dfrac{2}{7}\right)^3=\left(\dfrac{2}{7}\right)^{7+3}=\left(\dfrac{2}{7}\right)^{10}\)
\(c,\left(\dfrac{6}{5}\right)^5\cdot\left(\dfrac{6}{5}\right)^6=\left(\dfrac{6}{5}\right)^{5+6}=\left(\dfrac{6}{5}\right)^{11}\)
Bài 2.
\(a,\left(\dfrac{11}{4}\right)^{12}:\left(\dfrac{11}{4}\right)^{11}=\left(\dfrac{11}{4}\right)^{12-11}=\left(\dfrac{11}{4}\right)^1=\dfrac{11}{4}\)
\(b,\left(\dfrac{4}{9}\right)^9:\left(\dfrac{4}{9}\right)^5=\left(\dfrac{4}{9}\right)^{9-5}=\left(\dfrac{4}{9}\right)^4\)
\(c,\left(\dfrac{13}{6}\right)^6:\left(\dfrac{13}{6}\right)^6=\left(\dfrac{13}{6}\right)^{6-6}=\left(\dfrac{13}{6}\right)^0=1\)
Bài 1:
\(a,\left(\dfrac{1}{6}\right)^5.\left(\dfrac{1}{6}\right)^2=\dfrac{1}{6}^{5+2}=\dfrac{1}{6}^7\)
\(b,\left(\dfrac{2}{7}\right)^7.\left(\dfrac{2}{7}\right)^3=\dfrac{2}{7}^{7+3}=\dfrac{2}{7}^{10}\)
\(c,\left(\dfrac{6}{5}\right)^5.\left(\dfrac{6}{5}\right)^6=\dfrac{6}{5}^{5+6}=\dfrac{6}{5}^{11}\)
Bài 2:
\(a,\left(\dfrac{11}{4}\right)^{12}:\left(\dfrac{11}{4}\right)^{11}=\dfrac{11}{4}^{12-11}=\dfrac{11}{4}^1\)
\(b,\left(\dfrac{4}{9}\right)^9:\left(\dfrac{4}{9}\right)^5=\dfrac{4}{9}^{9-5}=\dfrac{4}{9}^4\)
\(c,\left(\dfrac{13}{6}\right)^6:\left(\dfrac{13}{6}\right)^6=\dfrac{13}{6}^{6-6}=1\)