Question

Pls can you help me in this question

Answer 1

Let's clean the expression for
`(a)/(b)`: first of all, every number raised to the power of zero is one, so it can be ignored, since it is a multiplicative factor.

Moreover, we can use the rule for negative exponents

`\left( (a)/(b) \right) ^ {-n} = \left( (b)/(a) \right) ^ {n}`

To write the expression for
`(a)/(b)` as

`(a)/(b) = \left( (3)/(2)\right)^3x = (27)/(8) x`

So,
`\left( (a)/(b) \right) ^ {-3} = \left((27)/(8) x\right)^(-3) = \left( (8)/(27) \right)^3 (1)/(x^3) = (8^3)/(27^3x^3) = (512)/(19683x^3)`