Question

ìm giá trị của biểu thức sau

a) $\frac{4^2{.4}^3}{2^{10}}$

b) $\frac{(0,6{)}^5}{(0,2{)}^6}$

c)$\frac{2^7.9^3}{6^5{.8}^2}$

Answer 1

a) \(\dfrac{4^2.4^3}{2^{10}}=\dfrac{\left(2^2\right)^2.\left(2^2\right)^3}{2^{10}}=\dfrac{2^4.2^6}{2^{10}}=\dfrac{2^{10}}{2^{10}}=1\)

b) \(\dfrac{\left(0,6\right)^{55}\left(0,6\right)}{\left(0,2\right)^{66}\left(0,2\right)}=\dfrac{\left(0,2.3\right)^{56}}{\left(0,2\right)^{67}}=\dfrac{\left(0,2\right)^{56}.3^{56}}{\left(0,2\right)^{67}}=\dfrac{3^{56}}{\left(0,2\right)^{11}}\)

c) \(\dfrac{2^{77}.9^{33}.2.9}{6^{55}.8^{22}.6.8}=\dfrac{2^{78}.9^{34}}{6^{56}.8^{23}}=\dfrac{2^{78}.\left(3^2\right)^{34}}{\left(2.3\right)^{56}.\left(2^3\right)^{23}}=\dfrac{2^{78}.3^{68}}{2^{56}.3^{56}.2^{69}}=\dfrac{2^{78}.3^{68}}{2^{125}.3^{56}}=\dfrac{3^{12}}{2^{47}}\)

Answer 2

a) =1

b) =1215

c) = 3/16