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\(a,56-36:\left(-9\right)+3.\left(-2\right)^2\)
\(=56+4+12=72\)
\(b,36-16\left[2\left(14-15\right)^{21}\right]+14\)
\(=36-12\left[2-\left(-1\right)^{21}\right]+14\)
\(=36-16\left(2+1\right)+14\)
\(=36-48+14=2\)
\(c,2\left(-3\right)^2-3\left(-2\right)^3.\left(-2\right)^3+8\)
\(=2.9-3.8.8+8=218\)
\(d,\left(-8\right)25\left(-2\right)4\left(-5\right)125=\left(-8\right)125\left(-2\right)\left(-5\right)25.4=-1000.10.100=-1000000\)
\(56-36:\left(-9\right)+3.\left(-2\right)^2\)
\(=56+4+3.4\)
\(=60+12=72\)
\(36-16.\left|2-\left(14-15\right)^{21}\right|+14\)
\(=36-16.\left(2+1\right)+14\)
\(=36-48+14=2\)
\(2.\left(-3\right)^2-3.\left(-2\right)^3.\left(-2\right)^3+8\)
\(=2.9-3.8.8+8\)
\(=18-192+8=-166\)
\(\left(-8\right).25.\left(-2\right).4.\left(-5\right).125\)
\(=\left[\left(-8\right).125\right].\left(25.4\right).\left[\left(-5\right).\left(-2\right)\right]\)
\(=\left(-1000\right).100.\left(-10\right)=1000000\)
\(\frac{21^2.14.125}{35^3.6}\)
\(=\frac{7^2.3^2.2.7.5^3}{7^3.5^3.2.3}\)
\(=\frac{7^3.3^2.2.5^3}{7^3.5^3.2.3}\)
\(=3\)
Bo may la binh day k di hieu ashdbfgbgygygggydfsghuyfhdguuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu3
\(\frac{21^2\cdot14\cdot125}{35^3\cdot6}\)
\(=\frac{\left(7\cdot3\right)^2\cdot2\cdot7\cdot5^3}{\left(7\cdot5\right)^2\cdot2\cdot3}\)
\(=\frac{7^2\cdot3^2\cdot2\cdot7\cdot5^3}{7^2\cdot5^2\cdot2\cdot3}\)
\(=\frac{7^3\cdot3^2\cdot2\cdot5^3}{7^2\cdot5^2\cdot2\cdot3}\)
Rút gọn nhé
\(=7\cdot3\cdot5\)
\(=105\)
\(\frac{21^2.14.125}{35^3.6}=\frac{\left(7.3\right)^2.7.2.5^3}{\left(7.5\right)^3.2.3}=\frac{7^3.3^2.2.5^3}{7^3.3.2.5^3}=3\)
a) Ta có : \(16^{19}=\left(2^4\right)^{19}=2^{76}\)
\(8^{15}=\left(2^3\right)^{15}=2^{45}\)
mà \(76>45\)
\(\Rightarrow2^{76}>2^{45}\)
hay \(16^{19}>8^{15}\)
b) Ta có : \(625^2=\left(5^4\right)^2=5^8\)
\(125^6=\left(5^3\right)^6=5^{18}\)
mà \(8< 18\)
\(\Rightarrow5^8< 5^{18}\)
hay \(625^2< 125^6\)
c) Ta có : \(3^{14}< 3^{21}< 4^{21}\)
\(\Rightarrow3^{14}< 4^{21}\)
d) Ta có : \(729^3=\left(3^6\right)^3=3^{18}\)
\(9^{21}=\left(3^2\right)^{21}=3^{42}\)
mà \(18< 42\)
\(\Rightarrow3^{18}< 3^{42}\)
hay \(729^3< 9^{21}\)
35^3 phần 2^6*3