Question

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

Answer 1

Answer:

$-72x^8$

Step-by-step explanation:

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

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

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

When bases are same powers are to be added

=> $(-72)(x^{6+2})$

=> $-72x^8$

Answer 2

Answer:

$- 72x^{8}$

Step-by-step explanation:

$( - 2x^2 )^3 \times ( - 3x )^2$

Distribute the exponents to the brackets.

$( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )$

$( - 2^3x^{6} ) \times ( - 3^2x^2 )$

$( - 8x^{6} ) \times ( 9x^2 )$

$- 8 \times x^{6} \times 9 \times x^2$

$- 8 \times 9 \times x^2 \times x^{6}$

Multiply like terms and add exponents with same bases.

$- 72 \times x^{2+6}$

$- 72 \times x^{8}$