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A.a > 0 

B.a = 0 

C.\[a \ne 0\;\;{\rm{ }}\;{\rm{ }}\;\;\]

D.a < 0 

A.\[{a^{\frac{m}{n}}} = \sqrt[n]{{{a^m}}}\]

B. \[{a^{\frac{m}{n}}} = \sqrt[m]{{{a^n}}}\]

C. \[{a^{\frac{m}{n}}} = \sqrt[{mn}]{a}\]

D. \[{a^{\frac{m}{n}}} = \sqrt[m]{{{a^{mn}}}}\]

A.\[{a^{m.n}} = {a^m}.{a^n}\]

B.\[{a^{mn}} = {a^m} + {a^n}\]

C. \[{a^{mn}} = {a^m}:{a^n}\]

D. \[{a^{mn}} = {\left( {{a^m}} \right)^n}\]

A.\[{a^{\frac{1}{n}}} = \sqrt[n]{a}\]

B. \[{a^{\frac{1}{n}}} = \sqrt {{a^n}} \]

C. \[{a^{\frac{1}{n}}} = {a^n}\]

D. \[{a^{\frac{1}{n}}} = \sqrt[a]{n}\]

A.\[{a^m} > 1\]

B. \[{a^m} = 1\]

C. \[{a^m} < 1\]

D. \[{a^m} > 2\]

A.\[{a^m} < {b^m}\]

B. \[{a^m} > {b^m}\]

C. \[1 < {a^m} < {b^m}\]

D. \[{a^m} > {b^m} > 1\]

A.\[{a^m} > {b^m} > 1\]

B. \[1 < {a^m} < {b^m}\]

C. \[{a^m} < {b^m} < 1\]

D. \[1 > {a^m} > {b^m}\]

A.\[{b^n} = a\]

B. \[{a^n} = b\]

C. \[{a^n} = {b^n}\]

D. \[{n^a} = b\]

A.\[{\left( {\frac{3}{4}} \right)^m} > {\left( {\frac{1}{2}} \right)^m}\]

B. \[1 < {\left( {\frac{4}{3}} \right)^m}\]

C. \[{\left( {\frac{2}{3}} \right)^m} < {\left( {\frac{3}{4}} \right)^m}\]

D. \[{\left( {\frac{{13}}{7}} \right)^m} > {2^m}\]

A.\[{a^m} > {a^n} \Leftrightarrow m > n\]

B. \[{a^m} > {a^n} \Leftrightarrow m < n\]

C. \[{a^m} > {a^n} \Leftrightarrow m = n\]

D. \[{a^m} > {a^n} \Leftrightarrow m \le n\]

A.\[\sqrt[n]{{ab}} = \sqrt[n]{a}.\sqrt[n]{b}\]

B. \[\sqrt[n]{{{a^m}}} = \sqrt[n]{a}\sqrt[n]{m}\]

C. \[\sqrt[{mn}]{a} = \sqrt[n]{{{a^m}}}\]

D. \[\sqrt[n]{{\sqrt[m]{a}}} = \sqrt[n]{a}.\sqrt[m]{a}\]

A.\[\sqrt[{mn}]{a} = \sqrt[n]{a}\sqrt[m]{a}\]

B. \[\sqrt[{mn}]{a} = \sqrt[n]{{{a^m}}}\]

C. \[\sqrt[{mn}]{a} = \sqrt[m]{{{a^n}}}\]

D. \[\sqrt[{mn}]{a} = \sqrt[n]{{\sqrt[m]{a}}}\]

A.\[{\left( {\sqrt[{mn}]{a}} \right)^m} = \sqrt[n]{a}\]

B. \[\sqrt[{mn}]{{{a^m}}} = \sqrt[n]{a}\]

C. \[{\left( {\sqrt[{mn}]{{{a^m}}}} \right)^n} = a\]

D. \[{\left( {\sqrt[{mn}]{{{a^m}}}} \right)^n} = {a^n}\]

A.Nếu n chẵn thì \[\sqrt[n]{{{a^n}}} = a\]

B.Nếu n lẻ thì \[\sqrt[n]{{{a^n}}} = a\].

C.Nếu n chẵn thì \[\sqrt[n]{{{a^n}}} = - a\].            

D.Nếu n lẻ thì \[\sqrt[n]{{{a^n}}} = - a\].

A.a < 0            

B.a > 0            

C.\[a \in R\]

D. \[a \in Z\]

A.\[{a^n}\]

B. \[{b^n}\]

C. \[{a^\alpha }\]

D. \[{b^\alpha }\]

A.\[{\left( {{2^x}} \right)^y} = {2^{x + y}}\]

B. \[\frac{{{2^x}}}{{{2^y}}} = {2^{\frac{x}{y}}}\]

C. \[{2^x}{.2^y} = {2^{x + y}}\]

D. \[{\left( {\frac{2}{3}} \right)^x} = \frac{{{2^x}}}{{{3^y}}}\]

A.\[{2^{\sqrt x }} = {x^{\sqrt 2 }}\]

B. \[{3^{\sqrt {xy} }} = {\left( {{3^{\sqrt x }}} \right)^{\sqrt y }}\]

C. \[\frac{{{3^{\sqrt[3]{x}}}}}{{{3^{\sqrt[3]{y}}}}} = {3^{\sqrt[3]{{x - y}}}}\]

D. \[{x^{\sqrt 3 }} = {y^{\sqrt 3 }}\]

A.\[P = {x^{\frac{2}{{15}}}}\]

B. \[P = {x^{\frac{7}{{15}}}}\]

C. \[P = {x^{\frac{{38}}{{15}}}}\]

d. \[P = {x^{\frac{5}{2}}}\]

A.P=1

B. \[P = {b^{\frac{1}{{30}}}}\]

C. \[P = {b^{\frac{6}{5}}}\]

D. P=b

A.\[P = {a^{\frac{1}{2}}}\]

B. \[P = {a^{\frac{9}{2}}}\]

C. \[P = {a^{\frac{{11}}{6}}}\]

D. \[P = {a^3}\]

A.\[P = {2^{\frac{{181}}{{90}}}}\]

B. \[P = {2^{\frac{{181}}{9}}}\]

C. \[P = {2^{\frac{5}{6}}}\]

D. \[P = {2^{\frac{5}{3}}}\]

A.\[P = \frac{{25}}{{2028}}\]

B. P = 2028     

C.\[P = \frac{{{5^3}}}{{{2^{14}}}}\]

D. \[P = {5^4}{.2^{16}}\]

A.\[a \ge 3\;\;{\rm{ }}\;{\rm{ }}\;{\rm{ }}\;\;\]

B. a < 3 

C.2 < a ≤ 3 

D. a > 2 

A.a < 1 

B.a = 1            

C.1 < a < 2 

D.a ≤ 1 

A.\[P = 2\sqrt 6 - 5\]

B. \[P = {\left( {2\sqrt 6 - 5} \right)^{2020}}\]

C. \[P = {\left( {2\sqrt 6 + 5} \right)^{2020}}\]

D. \[P = 2\sqrt 6 + 5\]

A.a = 1

B.a = 2

C.a = 0

D.a = 3

A.m < n 

B.m > n 

C.m ≤ n 

D.m = n 

A.\[{a^2} < {b^2}\]

B. \[{a^{ - 2}} < {a^{ - 3}}\]

C. \[{a^{ - \frac{3}{2}}} < {b^{ - \frac{3}{2}}}\]

D. \[{b^{ - 2}} > {b^{ - \frac{5}{2}}}\]\[\]

A.\(\frac{1}{2}\)

B. C = 1

C. C = a + b

D. \[C = \sqrt a - \sqrt b \]

A.b;c;a        

B.bc;a;b        

C.c;b;a           

D.b;a;c

A.\[P = a\sqrt[4]{b}\left( {\sqrt[4]{b} - \sqrt[4]{a}} \right)\]

B. \[P = \sqrt[4]{b}\left( {\sqrt[4]{a} - \sqrt[4]{b}} \right)\]

C. \[P = \sqrt[4]{{ab}}\left( {\sqrt[4]{a} - \sqrt[4]{b}} \right)\]

D. \[P = a\sqrt[4]{b}\left( {\sqrt[4]{a} + \sqrt[4]{b}} \right)\]

A.\[P = \sqrt[3]{a} + \sqrt[3]{b}\]

B. \[P = a + b\]

C. \[P = \sqrt[3]{a} - \sqrt[3]{b}\]

D. \[P = a - b\]

A.A = a           

B.A = −a 

C. \[A = \frac{1}{a}\]

D. \[A = {a^{2\sqrt 2 - 1}}\]

A.\[\frac{{{a^{\sqrt 2 }}}}{{{a^{\sqrt 2 }} - {b^{\sqrt 3 }}}}\]

B. \[\frac{{{a^{2\sqrt 2 }}}}{{{a^{\sqrt 2 }} - {b^{\sqrt 3 }}}}\]

C. \[\frac{{2{a^{\sqrt 2 }}}}{{{a^{\sqrt 2 }} - {b^{\sqrt 3 }}}}\]

D. 0

A.\[A = \left( {{2^e} - 1} \right){e^e}\]

B. \[\left( {1 - {2^e}} \right){e^e}\]

C. \[A = {e^e}\]

D. \[ - {e^e}\]

A.2 

B. \(\frac{1}{2}\)

C. \[\frac{2}{{\sqrt 5 }}\]

D. \[\frac{2}{5}\]