Question

multiply the expression.
(-3u^{12}v^{12})(9uv^{7}) =

Explanation:

Step1: Multiply the coefficients

$(-3)\times9=-27$

Step2: Multiply the $u$ - terms using exponent rule $a^m\times a^n=a^{m + n}$

$u^{12}\times u=u^{12 + 1}=u^{13}$

Step3: Multiply the $v$ - terms using exponent rule $a^m\times a^n=a^{m + n}$

$v^{12}\times v^{7}=v^{12+7}=v^{19}$

Step4: Combine the results

$(-27)u^{13}v^{19}$

Answer:

$-27u^{13}v^{19}$