Question

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


`( {3s}^( - 4) {t}^(7) {s}^(0) )^( - 2) ( - 2 {s}^(2) {t}^(5) )^(2)`
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Answer 1

4s¹²/(9t⁴)

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)