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SIMPLIFY THE FOLLOWING EXPRESSION: given that s ≠ 0, and write your answer using only positive exponents. Thanks in advance!!!

[tex]( {3s}^{ - 4} {t}^{7} {s}^{0} )^{ - 2} ( - 2 {s}^{2} {t}^{5} )^{2} [/tex]

SIMPLIFY THE FOLLOWING EXPRESSION given that s 0 and write your answer using only positive exponents Thanks in advancetex 3s 4 t7 s0 2 2 s2 t5 2 tex class=

Respuesta :

Answer:

4s¹²/(9t⁴)

Step-by-step explanation:

Solving in steps:

  • (3s⁻⁴t⁷s⁰)⁻²(-2s²t⁵)² =
  • 3⁻²s⁻⁴ˣ⁻²t⁷ˣ⁻²(-2)²s²ˣ²t⁵ˣ² =
  • 1/9×s⁸t⁻¹⁴(4)s⁴t¹⁰ =
  • 4/9 ×s⁸⁺⁴t⁻¹⁴⁺¹⁰ =
  • 4/9 ×s¹²t⁻⁴=
  • 4s¹²/(9t⁴)
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