Question

4b⁸ * 5b³ is equivalent to:

Explanation:

Step1: Multiply coefficients

Multiply the coefficients \(4\) and \(5\). So, \(4\times5 = 20\).

Step2: Multiply variables with exponents

For the variable \(b\) with exponents \(8\) and \(3\), use the rule \(a^m\times a^n=a^{m + n}\). So, \(b^{8}\times b^{3}=b^{8 + 3}=b^{11}\).

Step3: Combine results

Combine the coefficient and the variable part. We get \(20b^{11}\).

Answer:

\(20b^{11}\)