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(-10/3)^5 . (-6/5)^4
= (-10/3)^4.(-10/3).(-6/5)^4
= [(-10/3).(-6/5)]^4.(-10/3)
= 4^4 . (-10/3)
= 256.(-10/3)
= -2560/3
(3/7)^21:(9/49)^6
=(3/7)^21:[(3/7)^2]^6
=(3/7)^21:(3/7)^12
=(3/7)^21-12
=(3/7)^9
\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^{10}=\frac{3^{21}}{7^{21}}:\frac{9^{10}}{49^{10}}=\frac{3^{21}}{7^{21}}:\frac{\left(3^2\right)^{10}}{\left(7^2\right)^{10}}=\frac{3^{21}}{7^{21}}:\frac{3^{20}}{7^{20}}=\frac{3^{21}}{7^{21}}.\frac{7^{20}}{3^{20}}=\frac{3}{7}\)
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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
\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3^2}{7^2}\right)^6=\left(\frac{3}{7}\right)^{21}:\left[\left(\frac{3}{7}\right)^2\right]^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}=\left(\frac{3}{7}\right)^{21-12}=\left(\frac{3}{7}\right)^9\)
\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6=\left(\frac{3}{7}\right)^{21}:\left(\left(\frac{3}{7}\right)^2\right)^6\)
\(=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}\)
\(=\left(\frac{3}{7}\right)^{21-12}\)
\(=\left(\frac{3}{7}\right)^9\)
de co phai nhu the nay k ban:
\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^{10}\)
nếu như thế = \(\frac{3}{7}\)