Question

Lũy thừa của 1 số hữa tỉ:

\(\dfrac{2^{15}\times9^4}{6^6\times8^3}\)

GIÚP MIK VỚI MAI KT RỒI NHA:((( LÀM MƠN ĐÓ:)))))

Answer 1

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

Chúc Bạn Học Tốt!!!

Answer 2

- Ta có:

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

- Vậy \(\dfrac{2^{15}.9^4}{6^6.8^3}=3^2\)

Answer 3

Ta có :\(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\dfrac{2^{15}.3^8}{2^6.3^6.2^9}=\dfrac{2^{15}.3^8}{2^{15}.3^6}=3^2\)\(=9\)

Answer 4

\(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\dfrac{2^{15}.3^8}{2^{15}.3^6}=3^2=9\)