243 : 3⁴ = 3⁵ : 3⁴ = 3^{5 - 4} = 3¹

3^1

\(243:3^4=3^5:3^4=3\)

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

a: \(3\cdot3\cdot3\cdot3\cdot3=3^5\)

b: \(y\cdot y\cdot y\cdot y=y^4\)

c: \(5\cdot p\cdot5\cdot p\cdot2\cdot q\cdot4\cdot q=25\cdot2\cdot4\cdot p^2q^2=2\cdot\left(10qp\right)^2\)

d: \(a\cdot a+b\cdot b+c\cdot c+d\cdot d\cdot d\cdot d=a^2+b^2+c^2+d^4\)

a) 3.3.3.3.3 = 3\(^5\)

b) y.y.y.y = y\(^4\)

c) 5.p.5.p.2.q.4.q = 5\(^2\).p\(^2\).q\(^2\).2\(^3\) 

(2\(^3\) ở đây là vì 2.4 = 2.2.2 = 2\(^3\))

d) a.a + b.b + c.c.c + d.d.d.d = a\(^2\)+b\(^2\)+c\(^3\)+d\(^4\)

a)  6 2010 : 6 10  = 6 2000

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   1024:8²

=2¹⁰:(2³)²

=2¹⁰:2⁶

=2⁴

\(1024:8^2=\frac{2^{10}}{2^6}=2^4\)

\(1024:8^2=2^{10}:2^6=2^{10-6}=2^4\)

Tk mình nha.

= 85 x 85 - 84 x 84 = 85 x 84 + 85 - 84 x 84 = 84 x 84 + 84 + 85 - 84 x 84 = (84 x 84 - 84 x 84) + 85 + 84 = 169 = 13^2

= 13^2 nhaaaaaaa

85^2 - 84^2 = (85-84).(85+84)=169=13^2

\(a^4\)

\(a^5:a=a^{5-1}=a^4\)

a⁵:a=a⁵:a¹=a^5-1=a⁴