\(\frac{4^{20}(2^{20}+1)}{4^{15}(4^{10}+1)}=4^5=1024 \)

Bài 2

Ta có; \((x-2)^{2012}\ge0\)

\(|y^2-9|^{2014}\ge0\)

=>\((x-2)^{2012}+|y^2+9|^{2014}\ge0\)

Mà \((x-2)^{2012}+|y^2+9|^{2014}=0\)

=>x-2=0=>x=2

y^2-9=0=>y=+-3

45^10*5^20/75^15

=5^10*9^10*5^20/(5^2)^15

=5^10*5^20*9^10/5^30

=9^10

(0.8)^5/(0.4)^6

=(0.4)^5*2^5/(0.4)^6

=2^5/(0.4)

=32/(0.4)

=80

2^15*9^4/6^6*8^3

=2^15*(3^2)^4/2^6*3^6*(2^3)^3

=2^15*3^8/2^6*3^6*2^9

=3^2

=9

Tính :

a) \(\frac{8^{14}}{4^{12}}=\frac{\left(2^3\right)^{14}}{\left(2^2\right)^{12}}=\frac{2^{42}}{2^{24}}=2^{18}=262144.\)

b) \(\frac{120^3}{40^3}=\left(\frac{120}{40}\right)^3=3^3=27.\)

Tìm x:

b) \(x^2-0,25=0\)

\(\Rightarrow x^2=0+0,25\)

\(\Rightarrow x^2=0,25\)

\(\Rightarrow\left[{}\begin{matrix}x=0,5\\x=-0,5\end{matrix}\right.\)

Vậy \(x\in\left\{0,5;-0,5\right\}.\)

c) \(\frac{8}{2^x}=2\)

\(\Rightarrow2^x=8:2\)

\(\Rightarrow2^x=4\)

\(\Rightarrow2^x=2^2\)

\(\Rightarrow x=2\)

Vậy \(x=2.\)

Chúc bạn học tốt!

a, 2 mũ 17 phần 2 mũ 14

b,=30

mình chỉ làm được 2 câu thôi,chúc cậu học tốt!

a.

\(\frac{45^{10}\times5^{20}}{75^{15}}=\frac{\left(3^2\times5\right)^{10}\times5^{20}}{\left(3\times5^2\right)^{15}}=\frac{3^{20}\times5^{10}\times5^{20}}{3^{15}\times5^{30}}=3^5=243\)

b.

\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,8\right)^5}{\left(0,4\right)^5}\times\frac{1}{\left(0,4\right)}=\left(\frac{0,8}{0,4}\right)^5\times\frac{1}{\frac{4}{10}}=2^5\times\frac{5}{2}=2^4\times5=16\times5=80\)

c.

\(\frac{2^{15}\times9^4}{6^6\times8^3}=\frac{2^{15}\times\left(3^2\right)^4}{\left(2\times3\right)^6\times\left(2^3\right)^3}=\frac{2^{15}\times3^8}{2^6\times3^6\times2^9}=3^2=9\)

Chúc bạn học tốt ^^

1. sai dấu nhé 

2.a, \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(5^2.3\right)^{15}}=\frac{3^{20}.5^{30}}{5^{30}.3^{15}}=3^5=243\)

b, \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(\frac{4}{5}\right)^5}{\left(\frac{2}{5}\right)^6}=\frac{\left(\frac{2}{5}\cdot2\right)^5}{\left(\frac{2}{5}\right)^6}=\frac{\left(\frac{2}{5}\right)^5\cdot2^5}{\left(\frac{2}{5}\right)^5\cdot\frac{2}{5}}=2^5\div\frac{2}{5}=32\cdot\frac{5}{2}=80\)

c, \(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^2}{2^{15}}=3^2=9\)

Bài 1: 

a: x+1/2=5/6

nên x=5/6-1/2=1/3

b: x+1/4=3/4

nên x=3/4-1/4=2/4=1/2

c: x+3/10=1/2

nên x=1/2-3/10=5/10-3/10=1/5

d: x+1/4=3/8

nên x=3/8-1/4=3/8-2/8=1/8

TOT LAM

mik ko hieu lam

a/  45¹⁰ . 5²⁰ / 75¹⁵ = (3².5)¹⁰.5²⁰/ (3.5²)¹⁵ = 3²⁰.5³⁰/ 3¹⁵.5³⁰ = 3⁵=243

b/ 2¹⁵. 9⁴ / 6⁶. 8³ = 2¹⁵.3⁸/ 2⁶.3⁶.2⁹ = 3² = 9