Question

multiple choice 1 point simplify \\((-7x^2y^3)(2x^3y^5)\\)

Explanation:

Step1: Multiply the coefficients

Multiply -7 and 2.
$-7\times2 = -14$

Step2: Multiply the \(x\)-terms using exponent rule \(a^m\times a^n=a^{m + n}\)

For \(x^2\) and \(x^3\), we have \(x^{2+3}=x^5\)

Step3: Multiply the \(y\)-terms using exponent rule \(a^m\times a^n=a^{m + n}\)

For \(y^3\) and \(y^5\), we have \(y^{3 + 5}=y^8\)

Step4: Combine the results

Multiply the coefficient, \(x\)-term, and \(y\)-term together.
\(-14\times x^5\times y^8=-14x^5y^8\)

Answer:

\(-14x^5y^8\)