Solve ${{5}^{2(x-1)}}\times {{5}^{x+1}}=0.04$

Simplify ${{16}^{-\tfrac{1}{2}}}\times {{4}^{-\tfrac{1}{2}}}\times {{27}^{\tfrac{1}{3}}}$

Find the value of x for which $2({{3}^{2x-1}})=162$

Simplify ${{(25)}^{-\tfrac{1}{3}}}\times {{(27)}^{\tfrac{1}{3}}}+{{(121)}^{-\tfrac{1}{4}}}\times {{(625)}^{-\tfrac{1}{4}}}$

Evaluate $\frac{{{81}^{\tfrac{3}{4}}}-{{27}^{\tfrac{1}{3}}}}{3\times {{2}^{3}}}$

Given that $\sqrt[3]{{{4}^{2x}}}=16$ find the value of x

If $\frac{{{9}^{2x-1}}}{{{27}^{x+1}}}=1$Find the value of x

Find ${{\left( \frac{1}{0.06}\div \frac{1}{0.042} \right)}^{-1}}$

Without using tables evaluate ${{(343)}^{\tfrac{1}{2}}}\times {{(0.14)}^{-1}}\times {{(25)}^{-\tfrac{1}{2}}}$

Simplify ${{\left( \sqrt[3]{64{{a}^{3}}} \right)}^{-1}}$