Answer:
The expression NOT equivalent to a³b³ is [tex]a^{4}b^{4}-ab[/tex] ⇒ B
Step-by-step explanation:
Let us revise some rules of exponents
[tex]a^{m}*a^{n}=a^{m+n}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
[tex](a^{m})^{n}=a^{mn}[/tex]
let us solve the question
∵ (a²b)(b²a) = a² × a × b × b²
∵ a² × a × b × b² = [tex]a^{2+1}[/tex] × [tex]b^{2+1}[/tex]
∴ a² × a × b × b² = a³ × b³
∴ (a²b)(b²a) = a³b³
∵ [tex]a^{4}b^{4}-ab[/tex] have mo multiplication or division operations
∴ We can not add the powers or subtract them
∴ [tex]a^{4}b^{4}-ab[/tex] ≠ a³b³
∴ The expression NOT equivalent to a³b³ is [tex]a^{4}b^{4}-ab[/tex]
