a. 3 : 11 = \(\dfrac{3}{11}\)

b. -4 : 7 = \(\dfrac{-4}{7}\)

c 5 : ( -13)  = \(\dfrac{5}{-13}=\dfrac{-5}{13}\)

d x : 3 \(\left(x\in z\right)\)

= \(\dfrac{x}{3}\)

\(a,3:11=\dfrac{3}{11}=\dfrac{-3}{-11}\\ b,-4:7=\dfrac{-4}{7}=\dfrac{4}{-7}\\ c,5:\left(-13\right)=\dfrac{5}{-13}=\dfrac{-5}{13}\\ d,x:3=\dfrac{x}{3}=\dfrac{-x}{-3}\)

a)

\({5^7}{.5^5} = 5^{7+5}={5^{12}}\)

\({9^5} :{8^0} = {9^5}:1 = {9^5}\)

\(2^{10}:64.16 = 2^{10}:2^6.2^4 = 2^{10-6+4} = 2^8\)

b)

\(\begin{array}{l}54297 = 5.10000 + 4.1000 + 2.100 + 9.10 + 7\\ = {5.10^4} + {4.10^3} + {2.10^2} + 9.10 + 7\end{array}\)

\(\begin{array}{l}2023 = 2.1000 +0.100+2.10 + 3\\ = {2.10^3}+ 2.10 +3\end{array}\)

1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)

b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)

c) \(10^8\div10^3=10^{8-3}=10^5\)

d) \(a^7\div a^2=a^{7-2}=a^5\)

2.

\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)

\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)

\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)

a) 3.3^4.3^5 = 3^10

b) 7^3 : 7^2 : 7 = 7^1

c) (x^4)^3 = x^12

a ) 2 3 . b ) 3 − 4 . c ) − 3 8 . d ) − 1 − 3 .

D

D

-1/1

bn có thể trình bày từng bước ko
 

= 3⁵⁺³

3⁸ :3³ = 3^8-3=3⁵

3⁸ :3⁵= 3^8-5=3³

2⁷:2³=2^7-3=2⁴

2⁷:2⁴=2^7-4=2³

=2³ nha