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3.
a) \(\left(x-1\right)^3=125\)
=> \(\left(x-1\right)^3=5^3\)
=> \(x-1=5\)
=> \(x=5+1\)
=> \(x=6\)
Vậy \(x=6.\)
b) \(2^{x+2}-2^x=96\)
=> \(2^x.\left(2^2-1\right)=96\)
=> \(2^x.3=96\)
=> \(2^x=96:3\)
=> \(2^x=32\)
=> \(2^x=2^5\)
=> \(x=5\)
Vậy \(x=5.\)
c) \(\left(2x+1\right)^3=343\)
=> \(\left(2x+1\right)^3=7^3\)
=> \(2x+1=7\)
=> \(2x=7-1\)
=> \(2x=6\)
=> \(x=6:2\)
=> \(x=3\)
Vậy \(x=3.\)
Chúc bạn học tốt!
(1-2x)* 0.13 = 0.07 (lay xap xi do nha ban )
1-2x = 0.07 /0.13
1-2x = \(\frac{7}{13}\)
2x = \(\frac{7}{13}\)- 1
2x= \(\frac{-6}{13}\)
x= \(\frac{-6}{13}\) / 2
x= -3 phần 13
\(\left(1-2x\right)\cdot\left(\frac{3}{4}\right)^7=\left(\frac{3}{4}\right)^9\)
\(\left(1-2x\right)=\left(\frac{3}{4}\right)^9:\left(\frac{3}{4}\right)^7\)
\(1-2x=\left(\frac{3}{4}\right)^2\)
\(1-2x=\frac{9}{16}\)
\(2x=1-\frac{9}{16}\)
\(2x=\frac{7}{16}\)
\(x=\frac{7}{16}:2\)
\(x=\frac{7}{16}\cdot\frac{1}{2}\)
\(x=\frac{7}{32}\)
a) \(\frac{4}{3}-\frac{2}{5}\)
\(=\frac{20}{15}-\frac{6}{15}=\frac{14}{15}\)
b) \(\left|-\frac{1}{10}\right|-\left(-\frac{1}{3}\right)^2\div\frac{5}{9}\)
\(=\frac{1}{10}-\frac{1}{9}\cdot\frac{9}{5}\)
\(=\frac{1}{10}-\frac{1}{5}=\frac{1}{10}-\frac{2}{10}\)
\(=-\frac{1}{10}\)
c) Đề bài có vấn đề!!!
d) \(\left(-0,2\right)^2\cdot5-8^2\cdot\frac{9^4}{3^7}\cdot4^3\)
\(=0,04\cdot5-64\cdot\frac{\left(3^2\right)^4}{3^7}\cdot64\)
\(=0,2-4096\cdot\frac{3^8}{3^7}=0,2-4096\cdot3\)
\(=0,2-12288=-128878\)
\(\left(\dfrac{-3}{4}\right)^3:\left(\dfrac{-1}{4}\right)^2+9.-\dfrac{1}{9}+11=\dfrac{-27}{64}:\dfrac{1}{16}-1+11=-\dfrac{27}{4}+10=\dfrac{13}{4}\)