Question

Whats is rusult of : ( - 2x² )³ . ( - 3x )²

Answer 1

`- 72x^(8)`

Explanation:

`( - 2x^2 )^3 * ( - 3x )^2`

Distribute the exponents to the brackets.

`( - 2^3x^(2* 3) ) * ( - 3^2x^2 )`

`( - 2^3x^(6) ) * ( - 3^2x^2 )`

`( - 8x^(6) ) * ( 9x^2 )`

`- 8 * x^(6) * 9 * x^2`

`- 8 * 9 * x^2 * x^(6)`

Multiply like terms and add exponents with same bases.

`- 72 * x^(2+6)`

`- 72 * x^(8)`

Answer 2

`-72x^8`

Explanation:

=>
`(-2x^2)^3*(-3x)^2`

=>
`-8x^6*9x^2`

=>
`(-8*9) *(x^6x^2)`

When bases are same powers are to be added

=>
`(-72)(x^(6+2))`

=>
`-72x^8`