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Negative exponents in denominators can be evaluated using [tex]\frac{1}{b^{-n}}[/tex] = _____, b ≠ 0 The 4 possible options are bn [tex]b^{-n}[/tex] [tex]b^{n}[/tex] [tex]\frac{1}{-b^{n}}[/tex]

Respuesta :

Answer:

[tex]\dfrac{1}{b^{-n}}=b^n[/tex]

Step-by-step explanation:

One of the property of exponents is :

[tex]\dfrac{1}{x^a}=x^{-a}\\\\\text{or}\\\\\dfrac{1}{x^{-a}}=x^{a}[/tex]

In this problem, x = b and a = n

So,

[tex]\dfrac{1}{b^{-n}}=b^n[/tex]

Hence, the correct option is (b).

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