Answer
10$\log_2 x$ + 10$\log_2 y$
Work Step by Step
$Expand$ $the$ $expression$:
$\log_2 (xy)^{10}$
Distribute the exponent to the variables in the parenthesis
$\log_2 (x^{10}y^{10})$
Apply the First Law of Logarithms
$\log_2 (x^{10}\times y^{10})$ = $\log_2 x^{10}$ + $\log_2 y^{10}$
Apply the Third Law of Logarithms to both terms
$\log_2 x^{10}$ + $\log_2 y^{10}$ = 10$\log_2 x$ + 10$\log_2 y$
