bạn ơi ! đề bài

\(\frac{45^{10}20^{10}}{75^{15}}\)=\(\frac{1125^{10}}{75^5.75^{10}}\)=\(\frac{1125^{10}}{75}\)=\(\frac{1}{75^5}\)=\(\frac{15^{10}}{75^5}\)=\(\frac{15^5.15^5}{75^5}\)=\(\frac{15^5}{75}\).\(15^5\)=\(\frac{1^5}{3}\).\(15^5\)=\(\frac{1}{3}.15^5\)=\(^{5^5}\)=3125

a ) \(\left(-\frac{40}{52}.0,32.\frac{17}{20}\right):\frac{64}{75}\)

= \(\left(-\frac{16}{65}.\frac{17}{20}\right):\frac{64}{75}\)

= \(\left(-\frac{68}{325}\right):\frac{64}{75}\)

= \(\frac{-51}{208}\)

b ) \(-\frac{10}{11}.\frac{8}{9}+\frac{7}{18}.\frac{10}{11}\)

= \(\frac{10}{11}.\left(-\frac{8}{9}+\frac{7}{18}\right)\)

= \(\frac{10}{11}.\left(-\frac{1}{2}\right)\)

= \(\frac{-5}{11}\)

c ) \(\frac{45^{10}.5^{20}}{75^{15}}\)

= \(\frac{5^{10}.3^{20}.5^{20}}{5^{30}.3^{15}}\)

= \(\frac{5^{30}.3^{20}}{5^{30}.3^{15}}\)

= 3 ⁵

= 243

d ) ( - 0,125 ) ³ . 80 ⁴

= -80000

\(\frac{45^{10}\times5^{20}}{75^{15}}=243\)

mk ko nhớ cách giải, chỉ có kết quả, nếu đúng k cho mk nha

\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{5^{10}.3^{20}.5^{20}}{3^{15}.5^{30}}=\frac{5^{30}.3^{20}}{3^{15}.5^{30}}=3^7=243\)

Ta có : \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{9^{10}.5^{10}.5^{20}}{3^{15}.25^{15}}=\frac{\left(3^2\right)^{10}.5^{30}}{3^{15}.\left(5^2\right)^{15}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5\)

\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{3^{20}.5^{10}.5^{20}}{3^{15}.5^{30}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\) 

   .Check mk nhá •<3 •

\(M=\frac{8^{20}+4^{20}}{4^{25}+64^5}=\frac{1^{20}+1^{20}}{1^{25}+8^5}=\frac{1}{32769}\)

\(N=\frac{6^6+6^3\cdot3^3+3^6}{73}=\frac{53217}{73}=729\)

T khó quá!

\(9^8:3^2=3^{16}:3^2=3^{14}\)

\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(5.3^2\right)^{10}.5^{20}}{\left(5^2.3\right)^{15}}=\frac{5^{10}.3^{20}.5^{20}}{5^{30}.3^{15}}=3^5\)

\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^8}{2^{15}.3^6}=3^2=9\)

1)   9⁸ : 3² =(3²)⁸:3²=3^2.8:3²=3¹⁶:3²=3^16-2=3¹⁴

2)   (45¹⁰.5²⁰)/75¹⁵=[(5.2³)¹⁰.5²⁰]/(5³)¹⁵=(5¹⁰.2^3.10.5²⁰)/5^3.15=(5³⁰.2³⁰)/5⁴⁵=2³⁰/5¹⁵=(2²)¹⁵/5¹⁵=(4/5)¹⁵

3)   (2¹⁵.9⁴)/(6⁶.8³)=[2¹⁵.(3²)⁴]/[(2.30)....

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hk tốt nha!!!

\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{45^{10}.25^{10}}{75^{10}.75^5}=\frac{1125^{10}}{75^{10}.75^5}=\frac{15^{10}}{75^5}=243\)