Question

simplify. express your answer using positive exponents.
(10y⁸z⁸)(3y⁷z⁸)

Explanation:

Step1: Multiply the coefficients

Multiply 10 and 3: \(10\times3 = 30\)

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

For \(y^8\) and \(y^7\), use \(a^m\times a^n=a^{m + n}\): \(y^8\times y^7=y^{8 + 7}=y^{15}\)

Step3: Multiply the \(z\)-terms using exponent rule

For \(z^8\) and \(z^8\), use \(a^m\times a^n=a^{m + n}\): \(z^8\times z^8=z^{8 + 8}=z^{16}\)

Step4: Combine the results

Multiply the results from Step1, Step2, and Step3: \(30\times y^{15}\times z^{16}=30y^{15}z^{16}\)

Answer:

\(30y^{15}z^{16}\)