please solve (-2a⁴b²)³


Sagot :

[tex]\large{\mathcal{SOLUTION:}}[/tex]

By power of a power rule: We distribute the exponent to each variable:

[tex] \\ \implies ( - 2 {a}^{4} {b}^{2} )^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies( - 2 ^ { \: 1 \times 3} \: {a}^{ \: 4 \times 3} \: b^{2 \times 3} ) \\ \\ \implies ( - {2}^{3} {a}^{12} {b}^{6} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies ( - 8 {a}^{12} {b}^{6} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \\ [/tex]

[tex]\large{\mathcal{ANSWER:}}[/tex]

  • [tex]-8a^{12}b^{6}[/tex]

[tex] \\ [/tex]

[tex]\boxed{\begin{array}{} \blue{\text{DONT RELY ON CHANCES,}} \\ \red{\text{ WORK FOR THE HARDEST }} \\ \end{array}}[/tex]