Respuesta :
We apply the following property:
(x^n)^m = x^(n • m)
Let m = 2
(P^1/2)^2 = P^(1/2 • 2) = P
The property of the exponent (p^a)^b = p^(ab) should be applied here to get p as the result.
What are exponents?
The number of times a number is multiplied by itself is referred to as an exponent.
What are the properties of exponents?
- [tex]x^{n}.x^{m} = x^{(n + m)}[/tex]
- [tex](x^{n})^m = x^{(nm)}[/tex]
- [tex](x/y)^{m} = x^{m}/y^{m}[/tex]
- [tex](xy)^{m} = x^m.y^m[/tex]
Expression given in the equation = [tex]P^{1/2}[/tex]
Let us find the square of the expression =[tex](P^{1/2})^2[/tex] = P
By squaring the given expression we get the result as P.
Hence, the property of the exponent [tex](x^{n})^m = x^{(nm)}[/tex] is applied here.
Learn more about exponents on:
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