(94,5)^2*(-2,5)^6 _________________ (-3,75)^5 15/08/2021 Bởi Clara (94,5)^2*(-2,5)^6 _________________ (-3,75)^5
Giải thích các bước giải: $\dfrac{(94,5)^2.(-2,5)^6}{(-3,75)^5}$ $=\dfrac{(\dfrac{189}{2})^2.(\dfrac{-5}{2})^6}{(\dfrac{-15}{4})^5}$ $=\dfrac{\dfrac{189^2}{2^2}.\dfrac{5^6}{2^6}}{\dfrac{-15^5}{4^5}}$ $=\dfrac{\dfrac{(3^3.7)^2.5^6}{2^8}}{\dfrac{-15^5}{2^{10}}}$ $=\dfrac{\dfrac{3^6.7^2.5^6}{2^8}}{\dfrac{-15^5}{2^{10}}}$ $=\dfrac{\dfrac{15^6.7^2}{2^8}}{\dfrac{-15^5}{2^{10}}}$ $=\dfrac{15.7^2}{2^2}$ Bình luận
Giải thích các bước giải:
$\dfrac{(94,5)^2.(-2,5)^6}{(-3,75)^5}$
$=\dfrac{(\dfrac{189}{2})^2.(\dfrac{-5}{2})^6}{(\dfrac{-15}{4})^5}$
$=\dfrac{\dfrac{189^2}{2^2}.\dfrac{5^6}{2^6}}{\dfrac{-15^5}{4^5}}$
$=\dfrac{\dfrac{(3^3.7)^2.5^6}{2^8}}{\dfrac{-15^5}{2^{10}}}$
$=\dfrac{\dfrac{3^6.7^2.5^6}{2^8}}{\dfrac{-15^5}{2^{10}}}$
$=\dfrac{\dfrac{15^6.7^2}{2^8}}{\dfrac{-15^5}{2^{10}}}$
$=\dfrac{15.7^2}{2^2}$