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+) Nếu x > 0
B = 3 . ( -1 ) - 2 . ( x + 3 )
B = -3 - 2x - 6
B = -9 - 2x
+) Nếu x < 0
B = 3 . ( - 1 ) - 2 . ( -x - 3 )
B = -3 + 2x + 3
B = 2x
\(\frac{2^4.2^6}{\left(2^5\right)^2}-\frac{2^5.15^3}{6^3.10^2}\)
\(=\frac{2^{10}}{2^{10}}-\frac{2^5.5^3.3^3}{2^3.3^3.2^2.5^2}\)
\(=1-\frac{2^5.5^3.3^3}{2^5.3^3.5^2}\)
\(=1-5\)
\(=-4\)
Học tốt
Trả lời:
\(\frac{2^4.2^6}{\left(2^5\right)^2}-\frac{2^5.15^3}{6^3.10^2}\)
\(=\frac{2^{10}}{2^{10}}-\frac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}\)
\(=1-\frac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}\)
\(=1-\frac{2^5.3^3.5^3}{2^5.3^3.5^2}\)
\(=1-5\)
\(=-4\)
Học tốt
\(=\frac{2^{10}}{2^{10}}-\frac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}=1-\frac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=1-\frac{2^5.3^3.5^3}{2^5.3^3.5^2}=1-5=-4\)
Ta có :\(B=\frac{3}{2}-\left(\frac{3}{2}\right)^2+\left(\frac{3}{2}\right)^3-....-\left(\frac{3}{2}\right)^{2014}\)
\(\frac{3}{2}B=\left(\frac{3}{2}\right)^2-\left(\frac{3}{2}\right)^3+\left(\frac{3}{2}\right)^4-...+\left(\frac{3}{2}\right)^{2014}-\left(\frac{3}{2}\right)^{2015}\)
\(\frac{3}{2}B+B=\left(\frac{3}{2}\right)^2-\left(\frac{3}{2}\right)^3+..+\left(\frac{3}{2}\right)^{2014}-\left(\frac{3}{2}\right)^{2015}\) \(+\frac{3}{2}-\left(\frac{3}{2}\right)^2+\left(\frac{3}{2}\right)^3-...-\left(\frac{3}{2}\right)^{2014}\)
\(\frac{5}{2}B=\frac{3}{2}-\left(\frac{3}{2}\right)^{2015}\)
\(B=\frac{\frac{3}{2}-\left(\frac{3}{2}\right)^{2015}}{\frac{5}{2}}\)
a)\(\frac{\sqrt{3^2}+\sqrt{39^2}}{\sqrt{7^2}+\sqrt{91^2}}.1\)
=\(\frac{3+39}{7+91}\)
=\(\frac{42}{98}\)
=\(\frac{3}{7}\)
b)\(\sqrt{\left(2,5-0,7\right)^2}\)
=\(|2,5-0,7|\)
=2,5-0,7
=1,8
\(m=\frac{2^5.15^3}{6^3.10^2}=\frac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(5.2\right)^2}=\frac{2^5.3^3.5^3}{2^5.3^3.5^2}=5\)\(5\)
\(m=\frac{2^5.15^3}{6^3.10^2}=\frac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}=\frac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=5\)