\(\left(2^3.3^5.5^7\right)^{10}.12^{20}\)
\(=2^{30}.3^{50}.5^{70}.\left(2^2.3\right)^{20}\)
\(=2^{30}.3^{50}.5^{70}.2^{40}.3^{20}\)
\(=2^{70}.3^{70}.5^{70}=\left(30\right)^{70}\)
1. viết các tích sau dưới dạng lũy thừa.
\(a,3^5\times5^6\times45\)
\(b,2^8\times4^5\times9^9\)
\(c,(2^3\times3^5\times5^7)^{10}\times12^{20}\)
\(d,18^{20}\times45^5\times5^{25}\times8^{10}\)
\(e,(x^2\times y)^5\times(x^2\times y^2)^7\times(x\times y^2)^6\times x^3\)
\(f,2^7\times3^8\times4^9\times9^8\)
AI NHANH TAY MÌNH TICK CHO
CHO A = \(\frac{2\times9\times8+3\times12\times10+4\times15\times12+...+98\times297\times200}{2\times3\times4+3\times4\times5+4\times5\times6+...+98\times99\times100}\)
TÍNH A\(^2\)
C=\(\frac{1\times5\times6+2\times10\times12+24\times8\times10}{1\times3\times5+2\times6\times10+8\times6\times20}\)
a,\(\frac{3^{10}\times(-5)^{21}}{\left(-5\right)^{20}\times3^{12}}\)
b,\(\frac{\left(-11\right)^5\times13^7}{11^5\times13^8}\)
c,\(\frac{2^{10}\times3^{10}-2^{10}\times3^9}{2^9\times3^{10}}\)
d,\(\frac{5^{11}\times7^{12}+5^{11}\times7^{11}}{5^{12}\times7^{12}+9\times5^{11}\times7^{11}}\)
Bài trên là bài rút gon phân số
a. \(\frac{3^2\times64^2-12^2\times16^2\times19+51\times33}{3+6+9+...+96+99}\)
b. \(\frac{6^3\times9^7\times4^3-16^2\times81^4}{\left(24\times3\right)^2}\)
c. \(\frac{21\times5^{21}\times5^8-25^{13}}{\left(4\times5^{14}\right)^2}\)
d. \(\frac{81^4\times3^{10}\times27^5\div3^{12}}{9^9\div9^3\times243^3}\)
e. \(\frac{18^6\div2^{11}\div9^3\times4^3}{32^2\div6^9\times3^6}\)
Tinh hop ly cac bieu thuc sau
a. \(A=\frac{3^{10}\times11+3^{10}\times5}{3^9\times2^4}\)
\(C=\frac{11\times3^{22}\times3^7-9^{15}}{\left(2\times3^{14}\right)^2}\)
cho \(a=2^3\times3;b=2\times3^2\times5^2;c=2^2\times3^4\times5^2\) khi do UCLN(a;b;c)=
\(\frac{7}{1\times3}+\frac{7}{3\times5}+\frac{7}{5\times7}+......+\frac{7}{99\times101}\)
Rut gon phan so sau :
a)\(\frac{9^{14\times}25^5\times8^7}{18^{12}\times625^3\times24^3}\)
b)\(\frac{1\times3\times5\times...\times39}{21\times22\times23\times...\times40}\)
c)\(\frac{1\times3\times5\times...\times\left(2n-1\right)}{\left(n+1\right)\times\left(n+2\right)\times\left(n+3\right)\times...\times2n}\)