Answer
$1$
Work Step by Step
Rewrite the expression so that the bases are the same:
$5^{2\sqrt 3} \cdot (5^2)^{-\sqrt 3}$
When a power is raised to a power, multiply the exponents and keep the base as-is:
$5^{2\sqrt 3} \cdot 5^{-2\sqrt 3}$
When two exponential expressions featuring the same base are multiplied together, add the powers, keeping the base as-is:
$5^{2\sqrt 3 - 2\sqrt 3}$
Simplify the exponent:
$5^{0}$
Any non-zero number raised to the power of $0$ is $1$:
$1$
