Question

question
fully simplify.
12x⁴y(-12x²y⁵)

Explanation:

Step1: Multiply the coefficients

Multiply \( 12 \) and \( -12 \).
\( 12\times(-12)= -144 \)

Step2: Multiply the \( x \)-terms

Use the rule \( a^m\times a^n = a^{m + n} \) for \( x^4\times x^2 \).
\( x^4\times x^2=x^{4 + 2}=x^6 \)

Step3: Multiply the \( y \)-terms

Use the rule \( a^m\times a^n = a^{m + n} \) for \( y\times y^5 \).
\( y\times y^5=y^{1+5}=y^6 \)

Step4: Combine all parts

Combine the coefficient, \( x \)-term, and \( y \)-term.
\( -144\times x^6\times y^6=-144x^6y^6 \)

Answer:

\( -144x^6y^6 \)