Let $2^{2x}=256$, find the value $x$ .

Let $3^{x-3}243$, find the value of $x$ .

Solve the expression $\left(\frac{64}{81}\right)^{\frac{3}{2}}$.

Simplify the expression $\frac{\left(3^{2m+3}+3^{2m}\right)}{6\left(3^{2m}\right)}$ .

Let $4^{2x+1}$ =1024, find the value $x$ .

Find the value of x:$4^x+2^x-20=0$.

What is the result of ($5^{2x+1}$)⁰?

Simplify the expression (3/5)³ x (3/5)^-6= (3/5)^2x-1.

Find the solution set of $x$ :$4^x-6\left(2^x\right)+8=0$.

Simplify the expression $\frac{\left(2^{m+2}-2^m\right)}{2^m}$.