Question

question
fully simplify.
11xy²(12xy⁴)
answer attempt 1 out of 2

Explanation:

Step1: Multiply the coefficients

Multiply 11 and 12. So, \(11\times12 = 132\).

Step2: Multiply the \(x\) terms

Using the rule \(a^m\times a^n=a^{m + n}\), for \(x\times x\), we have \(x^{1+1}=x^{2}\).

Step3: Multiply the \(y\) terms

Using the same exponent rule, for \(y^{2}\times y^{4}\), we get \(y^{2 + 4}=y^{6}\).

Step4: Combine the results

Multiply the results from Step1, Step2, and Step3 together. So, \(132\times x^{2}\times y^{6}=132x^{2}y^{6}\).

Answer:

\(132x^{2}y^{6}\)