\(\frac{2^{15}\cdot9^4}{6^6\cdot8^3}=\frac{2^{15}\cdot3^4\cdot3^4}{2^6\cdot3^6\cdot\left(2^4\right)^3}=\frac{2^{12}\cdot2^3\cdot3^8}{2^6\cdot3^6\cdot2^{12}}\)

\(=\frac{2^3\cdot3^2\cdot3^6}{2^3\cdot2^3\cdot3^6}=\frac{3^3}{2^3}\)

\(=\frac{27}{8}\)

\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{\left(2^3\right)^5.\left(3^2\right)^4}{6^6.8^3}=\frac{8^5.3^8}{6^6.8^3}\)

\(=\frac{8^2.3^8}{6^6}=\frac{64.6561}{46656}=\frac{64.6561}{64.729}\)

\(=\frac{6561}{729}=9\)

\(\frac{2^{15}\cdot9^4}{6^6\cdot8^3}=\frac{2^{15}\cdot\left(3^3\right)^4}{\left(2^3\right)^3\cdot\left(2.3\right)^6}=\frac{2^{15}\cdot3^{12}}{2^9\cdot2^6\cdot3^6}=\frac{2^{15}\cdot3^{12}}{2^{15}\cdot3^6}=3^6\)

\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=2.3^2=2.9=18\)

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

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

\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{2^6.3^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^8}{2^{15}.3^6}=\frac{1.3^2}{1.1}=3^2=9\)

\(\frac{2^{15}.9^4}{6^6.8^3}\)

\(=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}\)

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

\(=\frac{2^{15}.3^8}{2^{15}.3^6}\)

\(=3^2\)

\(=9\)

\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(3.2\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{3^6.2^6.2^9}=\frac{2^{15}.3^8}{3^6.2^{15}}=\frac{3^8}{3^6}=3^2=9\)

\(\frac{2^{15}\cdot9^4}{6^6\cdot8^3}=\frac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6\cdot\left(2^3\right)^3}=\frac{2^{15}\cdot3^8}{2^6\cdot3^6\cdot2^9}=\frac{2^{15}\cdot3^8}{2^{15}\cdot3^6}=\frac{3^2}{1}=3^2=9\)

\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{8^3.2^6.3^6.3^2}{3^6.2^6.8^3}=\frac{3^2}{1}=9\)

\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{32768.6581}{46656.512}=\frac{215646208}{23887872}\)

                                             \(=\frac{6581}{729}\)

\(nha^{ }\)

\(chucbnhocgioi!\)

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

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

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

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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