Answer
$\sqrt (25x^{14}) = 5x^{7}$
Work Step by Step
Let a and b are co-efficient of x and power of x respectively.
$\sqrt (ax^{b}) = 5x^{7}$
Squaring on both sides,
$ax^{b} = (5x^{7})^{2}$
When a product is raised to a power, raise each factor to that power.
$ax^{b} = 5^{2}x^{7 \times 2}$
$a x^{b} = 25 x^{14}$
a= 25 and b = 14
Substituting a and b in the given equation, we get
$\sqrt (25x^{14}) = 5x^{7}$
