Question

simplify. express your answer using positive exponents. (10b)(5b^{91})

Explanation:

Step1: Multiply coefficients

Multiply 10 and 5: $10\times5 = 50$.

Step2: Multiply variables with same base

Use the rule $a^m\times a^n=a^{m + n}$. Here $b^1\times b^{91}=b^{1 + 91}=b^{92}$.

Step3: Combine results

Combine the coefficient and the variable part: $50b^{92}$.

Answer:

$50b^{92}$