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a: \(=3^2\cdot3^3\cdot3^{-4}\cdot3^2=3^{2+3-4+2}=3^3\)
b: \(=2^2\cdot2^5:\left(2^3\cdot\dfrac{1}{2^4}\right)=2^7:\dfrac{1}{2}=2^8\)
c: \(=9\cdot32\cdot\dfrac{4}{9}=128=2^7\)
d: \(=\dfrac{1}{27}\cdot3^4=3^1\)
Câu 1:
a) 2225 và 3150
Ta có:2225=(29)25=51225
3150=(36)25=72925
Vì 51225<72925
Suy ra: 2225<3150
Câu 2:
a)\(25^3:5^2=\left(5^2\right)^3:5^2=5^6:5^2=5^4\)
b)\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6=\left(\frac{3}{7}\right)^{21}:\left[\left(\frac{3}{7}\right)^2\right]^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}=\left(\frac{3}{7}\right)^9\)
c)\(3-\left(-\frac{6}{7}\right)^0+\left(\frac{1}{2}\right)^2:2=3+\frac{1}{4}:2=3+\frac{1}{8}=\frac{25}{8}\)
Câu 3:
a)\(9.3^3.\frac{1}{81}.3^2=3^2.3^3.3^2.\left(\frac{1}{3^4}\right)=3^7:3^4=3^3\)
b)\(4.2^5:\left(2^3.\frac{1}{16}\right)=2^2.2^5:\left(2^3.\frac{1}{2^4}\right)=2^7:\frac{1}{2}=2^8\)
c)\(3^2.2^5.\left(\frac{2}{3}\right)^2=288.\frac{4}{9}=2^7\)
d)\(\left(\frac{1}{3}\right)^3.\frac{1}{3}.9^2=\left(\frac{1}{3}\right)^4.\left(3^2\right)^2=3^4.\left(\frac{1}{3}\right)^4=3^4:3^4=1\)
thank you
\(a,4.2^5:\left(2^3\cdot\dfrac{1}{16}\right)\\ =4.2^5:\left(2^3\cdot\dfrac{1}{2^4}\right)\\ =2^2.2^5:\dfrac{1}{2}\\ =2^7:\dfrac{1}{2}=2^7.2=2^8\)
\(b,3^2.2^5\left(\dfrac{2}{3}\right)^2\\ =\left(3\cdot\dfrac{2}{3}\right)^2.2^5\\ =2^2.2^5=2^7\)
\(c,\left(\dfrac{1}{3}\right)^2\cdot\dfrac{1}{3}.9^2\\ =\left(\dfrac{1}{3}\right)^3.3^4\\ =\left(\dfrac{1}{3}\right)^3.3^3.3\\ =\left(\dfrac{1}{3}.3\right)^3.3\\ =1^3.3=1.3\\ =3=3^1\)
a) \(4.2^5:\left(2^3\dfrac{1}{16}\right)\) \(=2^2.2^5:2^3:\dfrac{1}{16}\)
\(=2^7:2^3.16\)
\(= 2^4 . 2^4 = 2^8\)
b) \(3^2.2^5.\left(\dfrac{2}{3}\right)^2\) \(=3^2.2^5\)\(.\dfrac{2^2}{3^2}\)
\(=2^5.2^2=2^7\)
c) \(\left(\dfrac{1}{3}\right)^2.\) \(\dfrac{1}{3}.9^2\) \(=\left(\dfrac{1}{3}\right)^3.\left(3^2\right)^2\)
\(=\dfrac{1^3}{3^3}.3^4\)
\(=1^3.3\) \(= 3^1\)
HỌC TỐT NGHEN ~~~
viết các biểu thức sau dưới dạng an;
a, 9.33.1/81.32
b, 4.25:(23. 1/16)
c, 32.25.(2/3)2
d, (1/3)2.1/3.92
a) \(9\cdot3^3\cdot\frac{1}{81}\cdot3^2=3^2\cdot3^3\cdot\left(\frac{1}{3}\right)^43^2=3^7\cdot\frac{1}{3^4}=3^3\)
b) \(4\cdot2^5:\left(2^3\cdot\frac{1}{16}\right)=2^2\cdot2^5:\left(2^3\cdot\frac{1}{2^4}\right)=2^7:\frac{1}{2}=2^8\)
c) \(3^2\cdot2^5\cdot\left(\frac{2}{3}\right)^2=3^2\cdot2^5\cdot\frac{2^2}{3^2}=2^7\)
d) \(\left(\frac{1}{3}\right)^2\cdot\frac{1}{3}\cdot9^2=\frac{1}{3^2}\cdot\frac{1}{3}\cdot3^4=\frac{1}{3^3}\cdot3^4=3\)
a)9.33.\(\frac{1}{81}\).32
=32.33.34.\(\frac{1}{3^4}\).32
=311.\(\frac{1}{3^4}\)
=37
b)4.25:(\(2^3.\frac{1}{16}\))
=22.25:(\(2^3.\frac{1}{2^4}\))
=27:\(\frac{2^3}{2^4}\)
=27.\(\frac{2^4}{2^3}\)
=\(\frac{2^{11}}{2^3}\)
=28
c)32.25.\(\left(\frac{2}{3}\right)^2\)
=32.25.\(\frac{2^2}{3^2}\)
=\(\frac{3^2.2^5.2^2}{3^2}\)
=27
d)\(\left(\frac{1}{3}\right)^2.\frac{1}{3}.9^2\)
=\(\frac{1^2}{3^2}.\frac{1}{3}.\left(3^2\right)^2\)
=\(\frac{1^2}{3^2}.\frac{1}{3}.3^4\)
=\(\frac{1^2}{3^2}.\frac{3^4}{3}\)
=\(\frac{1^2}{3^2}.3^3\)
=3
a: \(=3^2\cdot3^5:3^4=3^{2+5-4}=3^3\)
b: \(=2^3\cdot2^4:\left(\dfrac{8}{16}\right)=\dfrac{2^7}{2}=2^6\)
c: \(=3^7\cdot3^3=3^{10}\)
d: \(=5^3\cdot5^2\cdot\dfrac{1}{5^4}=5^1\)
\(\frac{9.3^3.1}{81.3^2}=\frac{3^5}{3^6}=\frac{1}{3}=\sqrt{\frac{1}{9}}\)
Các câu còn lại tương tự
a) 9 . 33 . 1/81 . 32
=32.33.1/34.32
=33
b) 4 . 25 : (23 . 1/16)
=22.25:(23.1/24)
=22.25:1/2
=22.24
=22+4
=26
c) 32 . 25 . (2/3)2
=32.25.22/32
=25.22
=25+2
=27
d) (1/3)2 . 1/3 . 92
=1/32.1/3.(32)2
=1/32.1/3.34
=1/32.33
=3
=31
a) 33
b) 27
c) 3