Respuesta :

kudzordzifrancis

Answer:

The correct choice is

[tex]\boxed{n=4}[/tex]

Step-by-step explanation:

The given equation is

[tex]n^{-2}=\frac{1}{16}[/tex]

We rewrite the left hand side of the equation as a power(a number to a given exponent.

[tex]n^{-2}=\frac{1}{4^2}[/tex]

Recall that;

[tex]\frac{1}{a^m}=a^{-m}[/tex]

We apply this property to obtain;

[tex]n^{-2}=4^{-2}[/tex]

Since the exponents are the same, the bases are also the same.

Therefore [tex]n=4[/tex]

zainebamir540

Answer:

n = ±4

Step-by-step explanation:

We have given an equation.

n⁻² = 1 / 16

We have to solve it for n.

The formula for solving this

1/xᵃ = x⁻ᵃ

using this formula in given equation, we have

1 / n² = 1 / 16

since 16 is square  of ±4.

1 / n² = 1 / (±4)²

We can write above equation as:

(1/n)² = (1/±4)²

Taking square root to both sides of above equations, we have

1/n= 1/±4

hence, n = ±4   which is the answer.

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