\(3^{24}:3^{21}+2^2.2^3\)

\(=3^{24-21}+2^{2+3}\)

\(=3^3+2^5\)

\(=27+32\)

\(=59\)

\(343=7^3\)

\(\left(1+\dfrac{1}{100}\right)\times\left(1+\dfrac{1}{101}\right)\times\left(1+\dfrac{1}{102}\right)\times...\times\left(1+\dfrac{1}{2012}\right)\)

\(=\dfrac{101}{100}\times\dfrac{102}{101}\times\dfrac{103}{102}\times...\times\dfrac{2013}{2012}\)

\(=\dfrac{101\times102\times103\times...\times2013}{100\times101\times102\times...\times2012}\)

\(=\dfrac{2013}{100}\)

\(\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+\dfrac{1}{4\times5}+\dfrac{1}{5\times6}+\dfrac{1}{6\times7}+\dfrac{1}{7\times8}\)

\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}\)

\(=\dfrac{1}{2}-\dfrac{1}{8}\)

\(=\dfrac{3}{8}\)

\(a,x^2=16\)

\(\Rightarrow x^2=4^2\)

\(\Rightarrow x=4\)

Vậy \(x=4\)

\(b,x^3=27\)

\(\Rightarrow x^3=3^3\)

\(\Rightarrow x=3\)

Vậy \(x=3\)

\(c,2.x^3-4=12\)

\(\Rightarrow2.x^3=12+4\)

\(\Rightarrow2.x^3=16\)

\(\Rightarrow x^3=16:2\)

\(\Rightarrow x^3=8\)

\(\Rightarrow x^3=2^3\)

\(\Rightarrow x=2\)

Vậy \(x=2\)

\(d,5.x^3-5=0\)

\(\Rightarrow5.x^3=0+5\)

\(\Rightarrow5.x^3=5\)

\(\Rightarrow x^3=5:5\)

\(\Rightarrow x^3=1\)

\(\Rightarrow x^3=1^3\)

\(\Rightarrow x=1\)

Vậy \(x=1\)

\(e,\left(x+1\right)^2=16\)

\(\Rightarrow\left(x+1\right)^2=\pm4^2\)

\(\Rightarrow\left[{}\begin{matrix}x+1=4\\x+1=\left(-4\right)\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3\\x=\left(-5\right)\end{matrix}\right.\)

Vậy \(x\in\left\{3;\left(-5\right)\right\}\)

\(f,\left(x+1\right)^3=27\)

\(\Rightarrow\left(x+1\right)^3=27\)

\(\Rightarrow\left(x+1\right)^3=3^3\)

\(\Rightarrow x+1=3\)

\(\Rightarrow x=3-1\)

\(\Rightarrow x=2\)

Vậy \(x=2\)

\(g,\left(x+1\right)^3=1^6\)

\(\Rightarrow\left(x+1\right)^3=1^3\)

\(\Rightarrow x+1=1\)

\(\Rightarrow x=1-1\)

\(\Rightarrow x=0\)

Vậy \(x=0\)

\(h,\left(2.x-1\right)^3=125\)

\(\Rightarrow\left(2.x-1\right)^3=5^3\)

\(\Rightarrow2.x-1=5\)

\(\Rightarrow2.x=5+1\)

\(\Rightarrow2.x=6\)

\(\Rightarrow x=6:2\)

\(\Rightarrow x=3\)

Vậy \(x=3\)

Lỗi nhé em!

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Hải Nam Bạn chỉ cần trl 1 lần thôi , bn trl lại nhiều lấn làm j , spam à?