Question

question
fully simplify.
13x²y²(-7x⁵y²)

Explanation:

Step1: Multiply the coefficients

Multiply 13 and -7.
$13\times(-7) = -91$

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

For \(x^2\) and \(x^5\), we have \(x^{2 + 5}=x^7\)

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

For \(y^2\) and \(y^2\), we have \(y^{2 + 2}=y^4\)

Step4: Combine all parts

Combine the coefficient, \(x\)-term, and \(y\)-term.
$-91\times x^7\times y^4=-91x^7y^4$

Answer:

\(-91x^{7}y^{4}\)