\(\dfrac{3.5}{8.24}=\dfrac{3.5}{8.3.8}=\dfrac{5}{64}\)

Chúc bạn học tốt

5/64

a) .

b)

c)

d)

e)

.

\(B=\frac{4^2.25^2+32.125}{2^3.5^2}=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}\)

  \(=\frac{2^4.5^3\left(5+2\right)}{2^3.5^2}=\frac{2^3.5^2.2.5.7}{2^3.5^2}=2.5.7=70\)

\(\frac{3.5}{8.24}=\frac{3.5}{2^3.2^3.3}=\frac{1.5}{8.8.1}=\frac{5}{64}\)

\(\frac{2.14}{7.8}=\frac{2.7.2}{7.2^3}=\frac{1.7}{7.2}=\frac{1}{2}\)

\(\frac{3.7.11}{22.9}=\frac{1.7.11}{11.2.3}=\frac{1.7.1}{1.2.3}=\frac{7}{6}\)

\(\frac{8.5-8.2}{16}=\frac{8\left(5-2\right)}{8.2}=\frac{8.3}{8.2}=\frac{1.3}{1.2}=\frac{3}{2}\)

\(\frac{11.4-11}{2-13}=\frac{11\left(4-1\right)}{-11}=\frac{11.3}{-11}=-3\)

Bài 17 (Sgk Toán 6 Trang 15)

a) 3.5/8.24=3.5:3/8.24:3=5/8.8=5/64.

b) 2.14/7.8=2.2.7/7.2^3=2.7/7.4=1/2.

c) 3.7.11/22.9=3.7.1/12.11.3^2=7/2.3=76.

d)  8.5−8.2/16=(8.5−8.2):8/16:8=5−2/2=32.

e) 11.4−11/2−13=11.4−11/−11=(11.4−11):11/−11:11=4−1/−1=−3/1=-3

Rút gọn:

a) \frac{3900-15}{3120-12}=3120−123900−15​=

b) \frac{1620+12}{2025+15}=2025+151620+12​=

(-2)^3.3^3.5^3.7.8/3.5^3.2^4.42

=(-2)^2.(-2).3^3.5^3.7.8/3.5^3.2^2.2^2.7.6

=4.(-2).3^3.5^3.7.8/3.5^3.4.4.7.6

=-1.3^2.8/6

=-72/6=-12

\(\frac{\left(-2\right)^3.3^3.5^3.7.2^3}{3.5^3.2^4.2.3.7}\)=\(\frac{\left(-2\right)^2.\left(-2\right).3^3.5^3.7.2^3}{3^2.5^3.2^5.7}\)=\(\frac{2^5.\left(-2\right).3}{2^5}\)=\(-6\)

Ta có:

\(\frac{\left(-2\right)^3.3^3.5^3.7.8}{3.5^3.2^4.42}=\frac{\left(-2\right).\left(-2\right).\left(-2\right).3.3.3.5.5.5.7.2.2.2}{3.5.5.5.2.2.2.2.2.3.7}\)

\(=\frac{\left(-2\right)}{1}=-2\)

bn ghi ro hơn ko