Find $x$.

$2^x+2^x+2^x=192$

Find $x$.

${\left(\frac{-6}{7}\right)}^{x-7}=1$

Find $x$.

$2^{3x}=8^{2x+1}$

Find $x$.

$5^x+5^{x-1}=750$

If $a=– 1, b=2$, then find the value of the following:

$a^b+b^a$

If $a=– 1, b=2$, then find the value of the following:

$a^b-b^a$

If $a=– 1, b=2$, then find the value of the following:

$a^b\times b^2$

If $a=– 1, b=2$, then find the value of the following:

$a^b÷b^a$

Express each of the following in exponential form:

$\frac{-1296}{14641}$