Question

Write each in ax^b form where n can be either positive or negative integer

Answer 1

a.
`$ x^(-5) $`

b.
`$ 3x^(-2) $`

c.
`$ (4)/(3)x^4 $`

Explanation:

We have to know the two results to compute the problems.

1.
`$ x^a . x^b = x^(a + b) $`

2.
`$ (x^c)/(x^d) = x^c . x^(-d) = x^(c - d) $`

a.
`$ (x^3)/(x^8) $`

Using (2), we get:
`$ (x^3)/(x^8) = x^(3 - 8)`

`$ \textbf{= x}^{\textbf{5}} $`

b.
`$ (6x)/(2x^3) $`

`$ = 3(x)/(x^3) $`

`\textbf{= 3x}^{\textbf{-2}} $`

c.
`$ (28x^6)/(21x^2) $`

`$ = (4)/(3)x^(6 - 2) $`

`$ = \frac{\textbf{4}}{\textbf{3}}\textbf{x}^{\textbf{4}} $`

Hence, the answer.