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a, \(3^{15}:3^5=3^{15-5}=3^{10}\)
b, \(4^6:4^6=4^{6-6}=4^0\)
c, \(9^8:3^2=9^8:9=9^{8-1}=9^7\)
a, \(3^5.4^5=\left(3.4\right)^5=12^5\)
b, \(8^5.2^3=8^5.8=8^6\)
a)
\(3^5.4^5=\left(4.3\right)^5=12^5\)
b)
\(8^5.2^3=\left(2^3\right)^5.\left(2^3\right)^1=\left(2^3\right)^6=2^{18}\)
\(a) 3^{15} : 3^5 =3^{(15-5)}=3^{10}\)
\(b) 4^6 : 4^6=1^1 \)
\(c) 9^8 : 3^2=(3^2)^8:3^2=3^{16}:3^2=3^{14}\)
_Học tốt_
a) \(3^8:3^4=3^{8-4}=3^4\)
b) \(10^8:10^2=10^{8-2}=10^6\)
c) \(a^6:a=a^{6-1}=a^5\)
Áp dụng quy tắc am : an = am - n(a ≠ 0, m ≥ n ).
a) 38 : 34 = 38 – 4 = 34 = 81;
b) 108 : 102 = 108 – 2 = 106 = 1000000
c) a6 : a = a6 – 1 = a5
\(16^6:4^2=2^{24}:2^4=2^{24-4}=2^{20}\)
\(12^n:2^{2n}=12^n:4^n=3^n\)
\(27^8:9^4=3^{24}:3^8=3^{24-8}=3^{16}\)
\(125^5:25^3=5^{15}:5^6=5^{15-6}=5^9\)
\(4^{14}.5^{28}=4^{14}.25^{14}=\left(4.25\right)^{14}=100^{14}\)
\(64^4.16^5:4^{20}=2^{24}.2^{20}:2^{40}=2^{24+20-40}=2^4=16\)
Trả lời :
a, \(3^6\text{ x }3^2+2\text{ x }81^2=3^8+2\text{ x }\left(3^4\right)^2=3^8+2\text{ x }3^8=\left(2+1\right)\text{ x }3^8=3\text{ x }3^8=3^9\)
b, \(\left(6^3\text{ x }8^4\right)\text{ : }12^3\)
\(=6^3\text{ x }8^4\text{ : }12^3\)
\(=\left(2\cdot3\right)^3\text{ x }\left(2^3\right)^4\text{ : }\left(2^2\cdot3\right)^3\)
\(=2^3\cdot3^3\text{ x }2^{12}\text{ : }\left(2^6\cdot3^3\right)\)
\(=2^3\cdot3^3\text{ x }2^{12}\text{ : }2^6\text{ : }3^3\)
\(=2^9\)
Câu c không hiểu đề !
Lời giải:
\(2^{27}.3^{18}=(2^3)^9.(3^2)^9=8^9.9^9=(8.9)^9=72^9\)
\(25^4.2^8=25^4.(2^2)^4=25^4.4^4=(25.4)^4=100^4\)
\((-9)^4.27^2=9^4.27^2=(3^2)^4.(3^3)^2=3^8.3^6=3^{8+6}=3^{14}\)
\(-5^4:25=-5^4:(5^2)=-5^{4-2}=-5^2\)
\(a,81^3\cdot\frac{1}{9^2}:3^3=\left(9^2\right)^3\cdot\frac{1}{9^2}:3^3=9^6\cdot\frac{1}{9^2}\cdot\frac{1}{3^3}=\frac{9^6}{9^2}\cdot\frac{1}{3^3}=9^4\cdot\frac{1}{3^3}=\left(3^2\right)^4\cdot\frac{1}{3^3}=\frac{3^8}{3^3}=3^5\)
\(b,625^4:25^2=\left(5^4\right)^4:\left(5^2\right)^2=5^{16}:5^4=5^{12}\)
a) a3.a5 = a3+5 = a8
b) x7.x.x4 = x7+1+4 = x12
c) 35.45 = (3.4)5 = 125
d) 85.23 = 25.25.25.23 = 25+5+5+3 = 218
a/a\(^3\).a\(^5\)=a\(^8\)
b/x\(^7\).x.x\(^4\)=x\(^{12}\)
c/3\(^5\).4\(^5\)=2\(^{10}\).3\(^5\)
d/8\(^5\).2\(^3\)=2\(^{18}\)
98 : 32 = 98 : 9 = 98 - 1 = 97.