Question

37 . Tìm giá trị của các biểu thức sau :

a) \(\frac{4^2.4^3}{2^{10}}\)             ;            b) \(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}\)

c) \(\frac{2^7.9^3}{6^5.8^2}\)            ;            d) \(\frac{6^3+3.6^2+3^3}{-13}\)

 

Answer 1

b)\(\frac{0,6^5}{0,2^6}=\frac{0,2^5.0,3^5}{0,2^6}=\frac{0,3^5}{0,2}=0,01215\)

Answer 2

a/  \(\frac{4^2.4^3}{2^{10}}=\frac{16.64}{1064}=\frac{384}{1064}=\frac{3}{8}\)                                           b/  \(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}=\frac{\frac{243}{3125}}{\frac{1}{15625}}=1215\)

c/  \(\frac{2^7.9^3}{6^5.8^2}=\frac{128.729}{7776.64}=\frac{93312}{497664}=\frac{3}{16}\)                                  d/  \(\frac{6^3+3.6^2+3^3}{-13}=\frac{216+3.36+27}{-13}=\frac{216+108+27}{-13}=\frac{351}{-13}=-27\)

Answer 3

a)\(\frac{4^2\times4^3}{2^{10}}=\frac{4^{2+3}}{\left(2^2\right)^5}=\frac{4^5}{4^5}=1\)