Question

Math help :c
(6ab)^3 (5a^-3)^2
simplifying an expression with products.

Answer 1

Explanation:

`(a^(m))^(n)=a^(m*n)\\\\\\a^(m)*a^(n)=a^(m+n)`

`(6ab)^(3)*(5a^(-3))^(2) = 6^(3)*a^(3)*b^(3)*5^(2)*(a^(-3))^(2)\\\\`

`= 6^(3)*5^(2)*a^(3)*b^(3)*a^(-3*2)\\\\=216*25*a^(3)*b^(3)*a^(-6)\\\\\\=5400a^(3+(-6))*b^(3)\\\\\\=5400a^(-3)b^(3)`