If ${{9}^{(2-x)}}=3$, find x

Solve ${{\left( \frac{27}{125} \right)}^{-\tfrac{1}{3}}}\times {{\left( \frac{4}{9} \right)}^{\tfrac{1}{2}}}$

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

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

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

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

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

If x = 3, y = 2 and z = 4. What is the value of $3{{x}^{2}}-2y+z$

Find the smallest value of k such that ${{2}^{2}}\times {{3}^{3}}\times 5\times k$ is a perfect square 

If $\frac{{{27}^{x}}\times {{3}^{1-x}}}{{{9}^{2x}}}=1$, find the value of x

Solve the equation ${{2}^{7}}={{8}^{5-x}}$

 Evaluate ${{(0.064)}^{-\tfrac{1}{3}}}$