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Trả lời:
a) \(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}\)
\(=2^{20}.2^{45}\)
\(=2^{65}\)
\(a,4^{10}\cdot8^{15}=\left[2^2\right]^{10}\cdot\left[2\cdot2^2\right]^{15}=2^{20}\cdot2^{15}\cdot2^{30}=2^{20+15+30}=2^{65}\)
\(b,\frac{27^{16}}{3^{10}}=\frac{\left[3^3\right]^{16}}{3^{10}}=\frac{3^{48}}{3^{10}}=3^{48-10}=3^{38}\)
\(c,\frac{\left[2^9\cdot16+2^9\cdot34\right]}{2^{10}}=\frac{\left[2^9\left\{16+34\right\}\right]}{2^{10}}=\frac{2^9\cdot50}{2^{10}}=\frac{1}{2}\cdot50=25\)
\(d,\frac{3^4\cdot57-9^2\cdot21}{3^5}=\frac{3^4\cdot57-\left[3^2\right]^2\cdot21}{3^5}=\frac{3^4\cdot57-3^4\cdot21}{3^5}=\frac{3^4\left[57-21\right]}{3^5}=\frac{1}{3}\cdot36=12\)
( 2^9 .16 + 2^9 . 34 ) chia 2^10
=2^9 . ( 16 + 34 ) chia 2^10
=2^9 . 50 chia 2^10
=2^9 chia 2^10 . 50
= 0,5 .50=25
a)25.4:32=25.22:25=25+2-5=22=4
b)3.27:34=3.33:34=34:34=1
c)(29.16+29.32):210
=29.(16+32):210
=48:210-9
=48:2
=24
d)Bạn chữa lại dề nha
(34.57-92.21):35
=(34.57-34.22):35
=34.(57-22):35
=34.35:35
=34
=81
Bài 1: a/ \(\left(2^9.16+2^9.34\right):2^{10}\)\(=2^9.\left(16+34\right):2^{10}\)\(=50.2^9:2^{10}\)\(=50.2^9:2^9:2=50.\dfrac{1}{2}=25\)
c/ \(A=3+3^2+3^3+...+3^{19}\)
\(3A=3^2+3^3+3^4+...+3^{20}\)
\(3A-A=\left(3^2+3^3+3^4+...+3^{20}\right)-\left(3+3^2+3^3+...+3^{19}\right)\)
\(2A=3^{20}-3\)
\(A=\left(3^{20}-3\right):2\)
b/\(\left(3^4.57-9^2.21\right):3^5=\left(3^4.57-3^4.21\right):3^5=3^4.\left(57-21\right):3^5=3^4:3^5.36=3^4:3^4:3.36=\dfrac{1}{3}.36=12\)
Bài 2:
a/ 44 + 66 + 72
Vì 44 \(⋮\) 4 : 72 \(⋮\) 4 và 66 \(⋮̸\) 4
nên tổng ( 44 + 66 + 72 ) \(⋮̸\) 4
b/ 58 - 20 +18
Vì 58 + 18 = 76 \(⋮\) 4 và 20 \(⋮\) 4
nên ( 58 - 20 + 18 ) \(⋮\) 4
c/ 2.5.4.11 - 56
Vì ( 2.5.4.11 ) \(⋮\) 4 và 56 \(⋮\) 4
nên \(\left(2.5.4.11-56\right)⋮4\)
a) \(\frac{16.64.8^2}{4^3.2^5.16}=\frac{16.4^3.\left(2^3\right)^2}{4^3.2^5.16}=\frac{16.4^3.2^6}{4^3.2^5.16}=2\)
\(\frac{64^2.81^3.34}{2^{13}.3^9.17}=\frac{\left(2^6\right)^2.\left(3^4\right)^3.2.17}{2^{13}.3^9.17}=\frac{2^{13}.3^{12}.17}{2^{13}.3^9.17}=3^3=27\)
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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