Respuesta :

Hrishii

Answer:

2

Step-by-step explanation:

[tex] {n}^{ - 3} = \frac{1}{8} \\ \\ {n}^{ - 3} = \frac{1}{ {2}^{3} } \\ \\ {n}^{ - 3} = {2}^{ - 3}.. (\because \frac{1}{a^n} = a^{-n}) \\ \\ n = 2 \\(\because exponents \: are \: same\: hence\: \\bases\: will \: also\: be\: equal) [/tex]

devishri1977

Answer:

n = 2

Step-by-step explanation:

[tex]n^{-3} = \frac{1}{8}\\\\ = \frac{1}{2^{3}}\\\\ = 2^{-3}\\[/tex]

Therefore, n= 2

A number or variable with negative exponent is represented by positive exponent  by taking its reciprocal and vice versa

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

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