Question

a quantity representing how many times the base is multiplied by itself

Answer 1

Answer:

Let suppose the quantity be $x^{y}$ where x=Base, y=exponent

Now, if the base is multiplied by itself

i.e , $x \times x=x^{2}$

If we raise the power of base multiply by itself by y/2, then it becomes equal to the quantity given.

$[x^{2}]^{\frac{y}{2}}=x^{y}=Quantity$

Or if we raise the power of quantity by 2/y , then it becomes equal to base multiply by itself.

$[x^{y}]^{\frac{2}{y}}= x^{2}$

Quantity=$x^{y}=[base\times base]^{\frac{y}{2}}=[x^{2}]^{\frac{y}{2}}$