Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) 25^2:5^2 = 25
nếu đề là 25^3:5^2 thì :
=(5^2)^3:5^2
=5^6:5^2
=5^4
b) =(3/7)^21:[(3/7)^2] ^6
=(3/7)^21:[(3/7)^2]
=(3/7)21-12
=3/7^9
\(25^3\div5^2=\left(5^2\right)^3\div5^2=5^6\div5^2=5^4=625\)
\(\left(\frac{3}{7}\right)^{21}\div\left(\frac{9}{49}\right)^6=\left(\frac{3}{7}\right)^{21}\div\left[\left(\frac{3}{7}\right)^2\right]^6=\left(\frac{3}{7}\right)^{21}\div\left(\frac{3}{7}\right)^{12}=\left(\frac{3}{7}\right)^9\)
\(3-\left(-\frac{6}{7}\right)^0+\left(\frac{1}{2}\right)^2\div2=3-1+\frac{1}{4}\times\frac{1}{2}=2+\frac{1}{8}=\frac{17}{8}\)
e, 2x.4 = 128
<=> 2x . 22 = 27
=> x + 2 = 7
<=> x = 5
Vậy x = 5
f , ( x - 5)4 = (x - 5)6
<=> ( x - 5)4 - (x - 5)6 =0
<=> (x - 5)4. [1 - (x - 5)2] = 0
<=> (x - 5)4 (1 - x + 5)(1 + x - 5) = 0
<=> (x - 5)4 (6 - x)(x - 4) = 0
<=> \(\left[{}\begin{matrix}x-5=0\\6-x=0\\x-4=0\end{matrix}\right.\) <=> \(\left[{}\begin{matrix}x=5\\x=6\\x=4\end{matrix}\right.\)
Vậy x ={5; 6; 4}
49 . 7x = 2041
<=> 72. 7x = 74
=> 2 + x = 4
<=> x = 2
Vậy x = 2
a) \(\frac{7^3.5^8}{49.25^4}=\frac{7^3.5^8}{7^2.\left(5^2\right)^4}=7.\frac{5^8}{5^8}=7\)
b) \(\frac{3^9.25.5^3}{15.625.3^8}=\frac{3.3^8.5^2.5^3}{3.5.5^4.3^8}=\frac{5^5}{5^5}=1\)
c) Đề hơi sai roi bạn oi
d) \(\left(\frac{2}{5}-\frac{1}{2}\right)^2+\left(\frac{1}{2}+\frac{3}{5}\right)^2=\left(\frac{-1}{10}\right)^2+\left(\frac{11}{10}\right)^2=\frac{1}{100}+\frac{121}{100}=\frac{61}{50}\)
f) \(\left(x-5\right)^4=\left(x-5\right)^6\)
\(\Rightarrow\left[{}\begin{matrix}x-5=0\\x-5=1\\x-5=-1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=5\\x=6\\x=4\end{matrix}\right.\)
a) \(2^3:\left|x-2\right|=2\)
\(\Leftrightarrow8:\left|x-2\right|=2\)
\(\Leftrightarrow\left|x-2\right|=8:2\)
\(\Leftrightarrow\left|x-2\right|=4\)
Xét trường hợp 1: \(x-2=4\)
\(\Rightarrow x=4+2\)
\(\Rightarrow x=6\)
Xét trường hợp 2: \(x-2=-4\)
\(\Rightarrow x=-4+2\)
\(\Rightarrow x=-\left(4-2\right)\)
\(\Rightarrow x=-2\)
Vậy \(x=6\) hoặc \(x=-2\)
b)
\(\dfrac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^{29}\cdot9^{10}-7\cdot2^{29}\cdot27^6}\)
\(=\dfrac{5\cdot2^{30}\cdot3^{18}-2^2\cdot2^{27}\cdot3^{20}}{5\cdot2^{29}\cdot3^{20}-7\cdot2^{29}\cdot3^{18}}\)
\(=\dfrac{2^{29}\cdot3^{18}\left(5\cdot2-3^2\right)}{2^{29}\cdot3^{18}\left(5\cdot3^2-7\right)}\)
\(=\dfrac{10-9}{5\cdot9-7}=\dfrac{1}{38}\)
các bạn giúp mình với
(-3/7) mũ 5 - x = -9/49
<=> (-3/7)mũ 5 - x = (-3/7)mũ 2
<=> x = ( -3/7)mũ 5 - (-3/7)mũ 2
<=> x = (-3/7)mũ 3