a)\({\left[ {{{\left( { - \frac{1}{6}} \right)}^3}} \right]^4}\) (với \(a =  - \frac{1}{6}\))

\(=(- \frac{1}{6})^{3. 4}=(- \frac{1}{6})^{12}\)

b)\({\left[ {{{\left( { - 0,2} \right)}^4}} \right]^5}\) (với \(a =  - 0,2\))

\(=(-0,2)^{4.5}=(-0,2)^{20}\)

\(5^6:5^3=5^{6-3}=5^3\)

\(a^4:a=a^4:a^1=a^{4-1}=a^3\)

a)=5³

b)=a³

a) \(3^8:3^4=3^{8-4}=3^4\)

b) \(10^8:10^2=10^{8-2}=10^6\)

c) \(a^6:a=a^{6-1}=a^5\)

Áp dụng quy tắc a^m : aⁿ = a^{m - n}(a ≠ 0, m ≥ n ).

a) 3⁸ : 3⁴ = 3^{8 – 4} = 3⁴ = 81;

b) 10⁸ : 10² = 10^{8 – 2} = 10⁶ = 1000000

c) a⁶ : a = a^{6 – 1} = a⁵

a, 3⁴

b, 10⁶

c, a⁵

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.

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

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

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

còn bài 2

5^6 : 5^3 = 5^3

a^4 : a = a^3

k mình nha

5⁶:5³=5^6-3=5³

a⁴:a=a^4-1=a³

5⁶:5³=5^6-3=5²

a⁴:a=a^4-1=a³

(a kkac0)

** mk nha

c,2^4

~~

~

~

c) = 2⁴

d) = a⁴

c)2⁴

d)a⁴

Viết kết quả phép tính dưới dạng một lũy thừa :

a) 3^15 :3^5=59049=3^10

b) 4^6 :4^6=1=4^0

a) \(3^{15}:3^5=3^{15-5}\)

                  \(=3^{10}\)

b) \(4^6:4^6=4^{6-6}\)

                \(=4^0\)

a) 3¹⁵ : 3⁵ = 3^15-5 = 3¹⁰ 

b) 4⁶ : 4⁶ = 1 <=> 4¹ hoặc 1¹ 

a) \(3^5.3^7=3^{5+7}=3^{12}\)

b) \(a^5.a=a^{5+1}=a^6\)

c) \(5^4:5^3=5^{4-3}=5^1=5\)

d) \(a^3:a^3=a^{3-3}=a^0=1\)

a) \(3^5.3^7=3^{12}\)

b) \(a^5.a=a^6\)

c) \(5^4:5^3=5\)

d) \(a^3:a^3=1\)