Question

Plz help with this question

Answer 1

`{ (\frac{2 {p}^(3) }{ {q}^(2) }) }^(( - 4)) = \frac{{2}^((-4)) {p}^((3 * ( - 4))) }{ {q}^((2 * ( - 4))) } = \frac{ {p}^( (- 12)) }{16 {q}^(( - 8)) }=\boxed{\frac{ {q}^(8) }{ 16{p}^(12) }} \\`

q⁸/16p¹² is the right answer.

Answer 2

• q⁸/16p¹²

Explanation:

Use of formulas:

• (a/b)⁻ⁿ = (b/a)ⁿ
• (aᵇ)ⁿ = aᵇⁿ

Simplifying

• (2p³/q²)⁻⁴ =
• (q²/2p³)⁴ =
• (q²)⁴/(2p³)⁴ =
• q⁸/2⁴p¹² =
• q⁸/16p¹²