Answer:
(25/54)x⁻⁶y⁻⁹
Step-by-step explanation:
[4(5x³y³)²]/(6x⁴y⁵)³ Do the outside exponents first
= [4(25x⁶y⁶)]/(216x¹²y¹⁵) Group like terms
= [(4×25)/216] × x⁶/x¹² × y⁶/y¹⁵ Reduce fractions to lowest terms
= 25/54 × x⁻⁶ × y⁻⁹ Recombine the terms
= (25/54)x⁻⁶y⁻⁹
