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a. \(\left(2^9.16+2^9.34\right):2^{16}\)
\(=2^9\left(17+34\right):2^{16}\)
\(=50:2^7\)
=\(\dfrac{50}{128}=\dfrac{25}{64}=\left(\dfrac{5}{8}\right)^2\)
b. \(\left(3^4.57-9^2.21\right):3^5\)
\(=\left(3^4.3.19-3^4.3.7\right):3^5\)
\(=\left(3^5.19-3^5.7\right):3^5\)
\(=3^5.\left(19-7\right):3^5\)
=12
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Trả lời:
a) \(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}\)
\(=2^{20}.2^{45}\)
\(=2^{65}\)
\(a,4^{10}\cdot8^{15}=\left[2^2\right]^{10}\cdot\left[2\cdot2^2\right]^{15}=2^{20}\cdot2^{15}\cdot2^{30}=2^{20+15+30}=2^{65}\)
\(b,\frac{27^{16}}{3^{10}}=\frac{\left[3^3\right]^{16}}{3^{10}}=\frac{3^{48}}{3^{10}}=3^{48-10}=3^{38}\)
\(c,\frac{\left[2^9\cdot16+2^9\cdot34\right]}{2^{10}}=\frac{\left[2^9\left\{16+34\right\}\right]}{2^{10}}=\frac{2^9\cdot50}{2^{10}}=\frac{1}{2}\cdot50=25\)
\(d,\frac{3^4\cdot57-9^2\cdot21}{3^5}=\frac{3^4\cdot57-\left[3^2\right]^2\cdot21}{3^5}=\frac{3^4\cdot57-3^4\cdot21}{3^5}=\frac{3^4\left[57-21\right]}{3^5}=\frac{1}{3}\cdot36=12\)
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a) \(...=-\dfrac{12}{46}-\dfrac{15}{21}+\dfrac{3}{7}-\dfrac{7}{23}\)
\(=-\dfrac{12}{46}-\dfrac{7}{23}-\dfrac{15}{21}+\dfrac{3}{7}\)
\(=-\dfrac{6}{23}-\dfrac{7}{23}-\dfrac{5}{7}+\dfrac{3}{7}\)
\(=-\dfrac{13}{23}-\dfrac{2}{7}\)
\(=-\dfrac{13.7}{23.7}-\dfrac{2.23}{23.7}\)
\(=-\dfrac{91}{161}-\dfrac{46}{161}=-\dfrac{137}{161}\)
b) \(...=-21+\dfrac{7}{9}-\dfrac{3}{17}+\dfrac{25}{9}\)
\(=-21-\dfrac{3}{17}+\dfrac{7}{9}+\dfrac{25}{9}\)
\(=-21-\dfrac{3}{17}+\dfrac{32}{9}\)
\(=-\dfrac{3213}{153}-\dfrac{27}{153}+\dfrac{544}{153}=-\dfrac{2696}{153}\)
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75.(-21)=-1575. -15.(-17)=255. [(-98)-98] .(246-246).1=-196.0.1=0. Con cau Kia thi mh Suy nghi da
Sửa đề : ( 34 . 57 - 92 . 21 ) : 34
( 34 . 57 - 92 . 21 ) : 34
= ( 34 . 57 - 34 . 21 ) : 34
= 34 . ( 57 - 21 ) : 34
= ( 34 : 34 ) . 36
= 1 . 36 = 36