\(\frac{\left(-14\right)^5}{196^2}=\frac{-1}{196}\)

\(\left(-64\right).\left(-25\right)^3=1000000\)

thank nha

b) (5/2-3x)=25/9

            3x = 5/2-25/9

            3x =-5/18

              x =-5/18:3

              x=-5/54

\(e.\left(x-1\right)^5=-32\)

  \(\left(x-1\right)^5=\left(-2\right)^5\)

   \(x-1=-2\)

   \(x\)      \(=-2+1\)

   \(x\)        \(=-1\)

Vậy \(x=-1\)

Bài 1: a)  \(M=1+5+5^2+...+5^{100}\)

\(5M=5+5^2+5^3+...+5^{101}\)

\(5M-M=\left(5+5^2+5^3+...+5^{101}\right)-\left(1+5+5^2+...+5^{100}\right)\)

\(4M=5^{101}-1\)

\(M=\frac{5^{101}-1}{4}\)

b) \(N=2+2^2+...+2^{100}\)

\(2N=2^2+2^3+...+2^{101}\)

\(2N-N=\left(2^2+2^3+...+2^{101}\right)-\left(2+2^2+...+2^{100}\right)\)

\(N=2^{101}-2\)

Bài 2:

a) \(16^{32}=\left(2^4\right)^{32}=2^{128}\) 

\(32^{16}=\left(2^5\right)^{16}=2^{80}\)

Vì \(2^{128}>2^{80}\Rightarrow16^{32}>32^{16}\)

MÌNH KHÔNG HIỂU GÌ CẢ

   32 x 17 x 2 + 16 x 23 x 4 + 64 x 50

= ( 32 x 17 x 2 ) + ( 16 x 23 x 4 ) + ( 64 x 50 )

=  1088 + 1472 + 3200

=   5760

=(32.2).17+(16.4).23+64.50

=64.17+64.23+64.50

=64.(17+23+50)

=64.90

=5760

\(10^{30}=\left(10^3\right)^{10}=1000^{10}\)

\(4^{50}=\left(4^5\right)^{10}=1024^{10}\)

Vì \(1000^{10}< 1024^{10}\)nên \(10^{30}< 4^{50}\)

10³⁰  = (2.5)³⁰ =2³⁰ . 5.³⁰

4⁵⁰ = 2 ⁵⁰.2⁵⁰= 2³⁰ . 2⁷⁰

Vi 2³⁰ =2³⁰ nen minh can so sanh 5³⁰ va 2⁷⁰

5³⁰= (5³)¹⁰=125¹⁰

2⁷⁰= (2⁷)¹⁰=128¹⁰

Vi 125¹⁰<128¹⁰ nen 4⁵⁰ >10³⁰

^{Khong co dau xin loi nhe !}

thank you

các bạn

\(2\cdot2^{15}=2^{16}=2^3\cdot2^{13}=8\cdot2^{13}>7\cdot2^{13}\)

Vậy \(7\cdot2^{13}< 2\cdot2^{15}\)

.

7.2 mũ > 2.2 mũ 15

ta có:2.2^15=2^16=2^13.2^3=2^13.8

vì 2^13.8 > 2^13.7 nên 2.2^15 > 7.2^13

a. 80=2⁴ .5
    200=2³ .5³ 

    150=2.3.5² 

b.15³ =3³ .5³ 

10² =2² .5² 

c.32⁵ =2²⁵ 

12⁴ =2⁸ .3⁴ 

6³ =2³ .3³