Question

question
fully simplify.
$8x^{3}y^{3}(10x^{5})$

Explanation:

Step1: Multiply the coefficients

Multiply 8 and 10.
\(8\times10 = 80\)

Step2: Multiply the \(x\)-terms using exponent rule

Use \(a^m\times a^n=a^{m + n}\) for \(x^3\times x^5\).
\(x^3\times x^5=x^{3 + 5}=x^8\)

Step3: Combine all terms

The \(y\)-term \(y^3\) remains as is. Combine the coefficient, \(x\)-term, and \(y\)-term.
\(8x^3y^3(10x^5)=8\times10\times x^3\times x^5\times y^3 = 80x^8y^3\)

Answer:

\(80x^8y^3\)