Question

PLEASE determine the product or quotient:

a) (2x^2)(-4x^5)
b) (36m^2) / (-9nx)
c) -11ab^9b^6 / 5b^3a

Answer 1

a ) - 8x^7,

b ) - 4m^2 / nx,

c ) - 11a^2b^18 / 5

Explanation:

`a ) (2x^2)(-4x^5),\\-2x^2\cdot \:4x^5,\\-8x^5x^2,\\-8x^7\\\\Solution = -8x^7`

To solve this problem, I removed ( ), multiplied the terms, and through the " exponential rule " added the exponents to derive the solution - 8x^7

`b ) (36m^2) / (-9nx),\\-(36m^2)/(9nx),\\-(4m^2)/(nx)\\\\Solution = -(4m^2)/(nx)`

Here I simplified the bit " 36 / 9 " which was found as 4 in the numerator, deriving the solution - 4m^2 / nx

`c ) -11ab^9b^6 / 5b^3a,\\-11b^9(b^6)/(5)b^3a^(1+1),\\-11b^9(b^6)/(5)b^3a^2,\\-11\cdot (b^6)/(5)b^(9+3)a^2,\\-11\cdot (b^6)/(5)b^(12)a^2,\\-(b^6\cdot \:11b^(12)a^2)/(5),\\-(11a^2b^(18))/(5),\\\\Solution = -(11a^2b^(18))/(5)`

I applied a combination of " the exponential rule " and the addition of these exponents to receive a simplified solution - 11a^2b^18 / 5.