3 ^ 2 0 1 4 nhân 8 mũ 19 phần 6 mũ 60 x 3 mũ 1955 .Phan o day la phan so. Minh viet chu hoi kho hieu mong cac ban giup do. Xin tran trong cam on a ! Co the giup minh viet ra luon cach lam ko a ? Cang chi tiet cang tot.
3 ^ 2 0 1 4 nhân 8 mũ 19 phần 6 mũ 60 x 3 mũ 1955 .Phan o day la phan so. Minh viet chu hoi kho hieu mong cac ban giup do. Xin tran trong cam on a ! Co the giup minh viet ra luon cach lam ko a ? Cang chi tiet cang tot.
Đáp án:
Giải thích các bước giải:
\(\frac{{{3^{2014}}{{.8}^{19}}}}{{{6^{60}}{{.3}^{1955}}}} = \frac{{{3^{2014}}.{{\left( {{2^3}} \right)}^{19}}}}{{{{\left( {2.3} \right)}^{60}}{{.3}^{1995}}}} = \frac{{{3^{2014}}{{.2}^{57}}}}{{{2^{60}}{{.3}^{60}}{{.3}^{1995}}}} = {3^{2014 – 1995 – 60}}.\left( {{2^{57 – 60}}} \right) = {3^{ – 41}}{.2^{ – 3}} = \frac{1}{{{3^{41}}{{.2}^3}}}\)
\[\begin{array}{l}
\frac{{{3^{2014}}{{.8}^{19}}}}{{{6^{60}}{{.3}^{1955}}}} = \frac{{{3^{2014}}.{{\left( {{2^3}} \right)}^{19}}}}{{{3^{60}}{{.2}^{60}}{{.3}^{1995}}}}\\
= \frac{{{3^{2014}}{{.2}^{3.19}}}}{{{3^{60 + 1995}}{{.2}^{60}}}} = \frac{{{3^{2014}}{{.2}^{57}}}}{{{3^{2055}}{{.2}^{60}}}}\\
= \frac{1}{{{3^{41}}{{.2}^3}}}.
\end{array}\]