S=1+2²+2⁴+...+2¹⁰⁰

4S=2²B=2²+2⁴+2⁶+...+2¹⁰²

3B=4B-B=2¹⁰²-1

=> B = \(\frac{2^{102}-1}{3}\)

x ² . x ³ . x ⁴ . x

= x ^{2 + 3 + 4 + 1}

= x ¹⁰

x mũ 10

- Viết gọn các tổng , hiệu , tích sau bang cách  dùng lũy thừa

a ) xxx + aaaa

=x³+a⁴
b ) aaa - bb

=a³-b²

- Tìm các số tự nhiên x biết:

*x²=16

=>x²=4²

=>x=4

*(x+1)²=9

=>(x+1)²=3²

^=>x+1=3

^=>x+1=3

=>x=3-1

=>x=2

*x³=27

=>x³=3³

=>x=3

*3^x+1=27

=>3^x+1=3³

=>x+1=3

=>x=3-1

=>x=2

*2^x=36

=>2^x=2⁵

=>x=5

Bài 1 tự làm!

Bài 2:

a, \(\left(3x-4\right)\left(x-1\right)^3=0\Rightarrow\left[{}\begin{matrix}3x-4=0\\\left(x-1\right)^3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{4}{3}\\x-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{4}{3}\\x=1\end{matrix}\right.\)

b, \(2^{2x-1}:4=8^3\Rightarrow2^{2x-1}:2^2=2^9\)

\(\Rightarrow2x-1-2=9\Rightarrow2x-3=9\Rightarrow2x-12\Rightarrow x=6\)

c, Đề chưa rõ

d, \(\left(x+2\right)^5=2^{10}\Rightarrow\left(x+2\right)^5=4^5\Rightarrow x+2=4\Rightarrow x=2\)

e, \(\left(3x-2^4\right).7^3=2.7^4\Rightarrow3x-2^4=2.7^4:7^3\Rightarrow3x-16=2.7=14\)

\(\Rightarrow3x=14+16=30\Rightarrow x=\dfrac{30}{3}=10\)

f, \(\left(x+1\right)^2=\left(x+1\right)^0\Rightarrow\left(x+1\right)^2=1\) (vì x⁰ = 1)

\(\Rightarrow x+1=1\Rightarrow x=0\)

Làm phần c nè!

c, \(\left(x-5\right)^4=\left(x-5\right)^6\Rightarrow\left(x-5\right)^4-\left(x-5\right)^6=0\)

\(\Rightarrow\left(x-5\right)^4.\left(x-5\right)^2=0\)

\(\Rightarrow x-5=0\Rightarrow x=5\)

Đặt A = 2¹ + 2² + 2³ + 2⁴ + ... + 2¹⁰⁰⁰

2A = 2² + 2³ + 2⁴ + 2⁵ + ... + 2¹⁰⁰¹

2A - A = (2² + 2³ + 2⁴ + 2⁵ + ... + 2¹⁰⁰¹) - (2¹ + 2² + 2³ + 2⁴ + ... + 2¹⁰⁰⁰)

A = 2¹⁰⁰¹ - 2¹

Ủng hộ mk nha ^_-

Nhìu thế

Câu a:

7.(\(x-4\)) = \(7^4:7^3\)

7.(\(x-4\) )=7

(\(x-4\) )=7 : 7

(\(x-4\) )=1

\(x\) = 1+4

\(x\) = 5

Vậy \(x=5\)

a, 1³ + 2³ = 1+8 = 9 = 3² = (-3)²

b, 1³ + 2³ + 3³ = 1+8+27 = 36 = 6² = (-6)²

c, 1³ + 2³ + 3³ + 4³ = 1+8+27+64 = 100 = 10² = (-10)²

d,  1³ + 2³ + 3³ + 4³ = 1+8+27+64+125 = 225 = 15² = (-15)²