Question

Simplify the monomials

Answer 1

`(4a)^(-3)*^(-4)`

`x^m*x^n=x^(m+n)`

`(4a)^(-3)*a^(-4)`

`(-4)^(-3)\: a^(-3)*a^(-4)`

`4^(-3)\:a^(-3-4)`

`\cfrac{1}{4^3} \:a^(-7)`

`\boxed{(1)/(64a^(7)) }`

~

`(3xy)^2*(-4x^3y^2)^3`

`9x^2y^2*(64x^9y^6)`

`\boxed{-576x^(11)y^8}`

~

`(4a^(-1)b^5c^(-3))^3`

`(4)^3(a^(-1))^3(b^5)^3(c^(-3))^3`

`(4*4*4)\:a^(-1*3)\:b^(5*3)\:c^(-3*3)`

`64\:a^(-3)b^(15)c^(-9)`

`\boxed{(64b^(15))/(a^3c^9)}`