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gayaneshka [121]
3 years ago
12

If , n^-3 = 1/8 then n would be which of the following? -1/2 -2 2 1/2

Mathematics
2 answers:
lions [1.4K]3 years ago
4 0

Answer:

2

Step-by-step explanation:

{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)

Lady_Fox [76]3 years ago
3 0

Answer:

n = 2

Step-by-step explanation:

n^{-3} = \frac{1}{8}\\\\        = \frac{1}{2^{3}}\\\\      = 2^{-3}\\

Therefore, n= 2

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

a^{-n} = \frac{1}{a^{n}}

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