Question

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

Answer 1

n = 2

Explanation:

`n^(-3) = (1)/(8)\\\\ = (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) = (1)/(a^(n))`

Answer 2

2

Explanation:

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