### Instruction: If $7^{4x}=343$, what is the value of $7^{4x-3}$?### Response: I notice that $343=7^3$, so I can rewrite the equation as $7^{4x}=7^3$.
This means that the exponents must be equal, so $4x=3$.
Solving for x, I get $x=\frac{3}{4}$.
Now I can plug this into the expression $7^{4x-3}$.
I get $7^{4(\frac{3}{4})-3}=7^{3-3}=7^0$.
I know that any nonzero number raised to the zero power is 1, so $7^0=1$.