Simplify and show work

Question

Simplify and show work for the following 

 

a) (8ab^7)(-7a^-5b^2)

b) (4y)^2 (3y^3)

c) (2x)^5(3x)^2

Answer 1

a) (8ab^7)(-7a^-5b^2)

 

= (8*(-7))a^(1-5)b^(7+2) = -56a^(-4)b^(9) = -56b^9/a^4

b) (4y)^2 (3y^3)

 

= 3*4^2y^2y^3 = 48y^(2+3) = 48y^5

c) (2x)^5(3x)^2

 

= 2^5 x^5 3^2 x^2 = 32*9 x^(5+2) = 288x^7