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(3/7)^21:(9/49)^6
=(3/7)^21:[(3/7)^2]^6
=(3/7)^21:(3/7)^12
=(3/7)^9
\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3^2}{7^2}\right)^6=\left(\frac{3}{7}\right)^{21}:\left[\left(\frac{3}{7}\right)^2\right]^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}=\left(\frac{3}{7}\right)^{21-12}=\left(\frac{3}{7}\right)^9\)
\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6=\left(\frac{3}{7}\right)^{21}:\left(\left(\frac{3}{7}\right)^2\right)^6\)
\(=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}\)
\(=\left(\frac{3}{7}\right)^{21-12}\)
\(=\left(\frac{3}{7}\right)^9\)
\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6\)
\(=\left(\frac{3}{7}\right)^{21}:\left(\left(\frac{3}{7}\right)^2\right)^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}=\left(\frac{3}{7}\right)^{21-12}=\left(\frac{3}{7}\right)^9\)
(\(\frac{3}{7}\))21 : (\(\frac{9}{49}\))6
=(\(\frac{3}{7}\))21 : [(\(\frac{3}{7}\))2]6
= ( \(\frac{3}{7}\))21 : (\(\frac{3}{7}\))12
= ( \(\frac{3}{7}\))21-12 = (\(\frac{3}{7}\))9
\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6=\left(\frac{3}{7}\right)^{21}:\left(\left(\frac{3}{7}\right)^2\right)^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{2.6}=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}\)
\(=\left(\frac{3}{7}\right)^{21-12}=\left(\frac{3}{7}\right)^9\)
Lời giải:
\((\frac{3}{7})^{21}:(\frac{9}{49})^6=(\frac{3}{7})^{21}:[(\frac{3}{7})^2]^{6}=(\frac{3}{7})^{21}:(\frac{3}{7})^{12}\\
=(\frac{3}{7})^{21-12}=(\frac{3}{7})^9\)