Simplify $\frac{3{{x}^{3}}}{{{(3x)}^{3}}}$

Simplify $(0.3\times {{10}^{5}})\div (0.4\times {{10}^{7}})$ leaving your answer in the standard form

Find the quadratic equation whose roots are c and –c

If ${{2}^{n}}=128$ , find the value of $({{2}^{n-1}})({{5}^{n-2}})$

Simplify $\sqrt[3]{27{{x}^{3}}{{y}^{9}}}$  

Find the product of 0.0409 and 0.0021 leaving your answer in the standard form

If ${{9}^{2x}}=\tfrac{1}{3}({{27}^{x}})$ find x

If ${{(2x+3)}^{3}}=125$, find the value of x

Simplify $\frac{{{3}^{n-1}}\times {{27}^{n+1}}}{{{81}^{n}}}$ 

Given that $\frac{{{5}^{n+3}}}{{{25}^{2n-3}}}={{5}^{0}}$ , find n