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Assuming that $x\neq -5$ , simplify $\frac{(2x+10)^7}{(x+5)^7}$

$\mbox {Factor out 2 from the expression}$

$\frac{(2(x+5))^7}{(x+5)^7}$

$\mbox {To raise a product to a power, raise each factor to that power}$

$\frac{2^7*(x+5)^7}{(x+5)^7}$

$\mbox {Reduce the fraction with } (x+5)^7$

$2^7=128$