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\(A=8^4.16^5.32=\left(2^3\right)^4.\left(2^4\right)^5.2^5\)\(=2^{12}.2^{20}.2^5=2^{12+20+5}=2^{37}\)
Vậy \(A=2^{37}\)
\(B=27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{12+40}=3^{52}\)
Vậy \(B=3^{52}\)
1 phút trước (17:06)
Viết các tích sau dưới dạng lũy thừa:
a. \(8^4.16^5.32=2^{12}.2^{20}.2^5=2^{37}\)
b.\(27^4.81^{10}=3^{12}.3^{40}=3^{52}\)
a) 84 . 165 . 32
= (23)4 . (24)5 . 25
= 212 . 220 . 25
= 237
b) 274 . 8110
= (33)4 . (34)10
= 312 . 340
= 352
a) 5.125.625 = 5.53.54 = 51 + 3 + 4 = 58 c) 84.165.32 = (23)4.(24)5.25 = 23.4.24.5.25 = 23.4 + 4.5 + 5 = 212 + 20 + 5 = 237
b) 10.100.1000 = 10.102.103 = 101 + 2 + 3 = 106 d) 274.8110 = (33)4.(34)10 = 33.4.34.10 = 33.4 + 4.10 = 312 + 40 = 352
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\(4^{10}\cdot8^{15}\)
\(=\left(2^2\right)^{10}\cdot\left(2^3\right)^{15}\)
\(=2^{20}\cdot2^{45}\)
\(=2^{30+45}\)
\(=2^{75}\)
\(a;4^{10}\cdot8^{15}=2^{20}\cdot2^{45}=2^{65}\)
\(b;4^{15}\cdot5^{30}=2^{30}\cdot5^{30}=10^{30}\)
a)\(2.2.2.3.3=2^3.3^2\)
b)\(8.8.8.2=2^3.2^3.2^3.2=2^{10}\)
c)\(8^4.16^5=\left(2^3\right)^4.\left(2^4\right)^5=2^{12}.2^{20}=2^{32}\)
d)\(5^{40}.125^2.625^3=5^{40}.\left(5^3\right)^2.\left(5^4\right)^3=5^{40}.5^6.5^{12}=5^{58}\)
e)\(27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{52}\)
f)\(10^3.100^5.1000^4=10^3.\left(10^2\right)^5.\left(10^3\right)^4=10^3.10^{10}.10^{12}=10^{25}\)
a) 413 . 526
= 413 . 513.2
= 413 . 2513
=10013
b) 420 . 810
=42.10 . 810
=1610.810
=12810
c) 2715 : 910
=33.15 : 32.10
=345-20
=325
a) 5.125.625 = 5.53.54 = 51 + 3 + 4 = 58
b) 10.100.1000 = 10.102.103 = 101 + 2 + 3 = 106
c) 84.165.32 = (23)4.(24)5.25 = 23.4.24.5.25 = 23.4 + 4.5 + 5 = 212 + 20 + 5 = 237
d) 274.8110 = (33)4.(34)10 = 33.4.34.10 = 33.4 + 4.10 = 312 + 40 = 352
Viết các tích sau dưới dạng lũy thừa:
\(a)\) \(5.125.625=5.5^3.5^4=5^8\)
\(b)\)\(10.100.1000=10.10^2.10^3=10^6\)
\(c)\)\(8^4.16^5.32=\left(2^3\right)^4.\left(2^4\right)^5.2^5=2^{12}.2^{20}.2^5=2^{37}\)
\(d)\)\(27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{52}\)
\(8^2.32^4=2^{3.2}.2^{5.4}=2^6.2^{20}=2^{20+6}=20^{26}\)
\(27^3.9^4.243=3^{3.3}.9^{2.4}.3^5=3^9.3^8.3^5=3^{9+8+5}=3^{22}\)
a)
\(8^4.16^5.32=2^{12}.2^{20}.2^5=2^{37}\)
b)
\(27^4.81^{10}=3^{12}.3^{40}=3^{52}\)
thank you