If ${{(0.25)}^{y}}=32$ . Find the value of y

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

Given that $t={{2}^{-x}}$ find ${{2}^{x+1}}$ in terms of t

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

If 2^x = y, find ${{2}^{(2+\tfrac{x}{3})}}$

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

Simplify $\frac{{{25}^{\tfrac{2}{3}}}\div {{25}^{\tfrac{1}{6}}}}{{{({1}/{5}\;)}^{-\tfrac{7}{6}}}\times {{({1}/{5}\;)}^{\tfrac{1}{6}}}}$

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

If ${{8}^{x+1}}=\frac{1}{4}$ fins x

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