Given that $81^{2x} \times 9^{x} = 27$, find $x$. Answer ...

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1. 1计算： $(1)(\dfrac{9}{4})^{\frac{1}{2}}-(-9.6)^{0}-(\dfrac{27}{8})^{-\frac{2}{3}}+(\dfrac{3}{2})^{-2}$； $(2)\lg 5+\lg 2\boldsymbol{⋅}\lg 5+(\lg 2)^{2}+e^{\ln 3}(e$…
2. 2下列算式中，其中正确的有$()①(- \dfrac {1}{2})^{-3}=- \dfrac {1}{8}$，$②a^{2}+2a-1=(a-1)^{2}$，$③a^{8}÷a^{8}=1(a\neq 0)$，$④(a-b)^{2}=a^{2}-b^{2}$…
3. 3下列计算正确的是$(\:\:\:\:)$ A. $a ^{2} +a ^{3} =a ^{5}$ B. $a ^{3} \boldsymbol{⋅}a ^{3} =a ^{9}$ C. $(a ^{3} ) ^{2} =a ^{6}$…
4. 4Express $(\sqrt[3]{x})^2$ in index notation. Answer ... Find the integer $n$ such that $2^n = \dfrac{1}{32}$. Answer $n =$…
5. 5下列运箅正确的是$()$ A. $2a^{2}-a=a$ B. $(a+2)^{2}=a^{2}+4$ C. $(a^{2})^{3}=a^{6}$ D. $\sqrt {(-3)^{2}}=-3$