Question

Plz help with this question

Answer 1

Answer:

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

q⁸/16p¹² is the right answer.

Answer 2

Answer:

• q⁸/16p¹²

Step-by-step 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