Simplify the expression 15a2 y34 5ay25 A a35y2 B 154 a355 y2

Simplify the expression. (15a^2 y^-3)^4 (5ay^-2)^-5 A. -a^3/5y^2 B. 15^4 a^3/5^5 y^2 C. 20a^5/y^2 D. 81a^3/5y^2

Solution

as we know

(x^a)^b =x^a*b

x^ax^b =x^a+b

^{By using above two formuals}

=15⁴a⁸y^-125^-5a^-5y¹⁰

= 3⁴*5^4-5a^8-5y^10-12

= 3⁴*5^-1*a³y^-2

=81a³/5y²