Question

simplify. express your answer using positive exponents. (9b)(4b^{32})

Explanation:

Step1: Multiply coefficients

Multiply 9 and 4: $9\times4 = 36$.

Step2: Apply exponent - product rule

For the variable part $b\times b^{32}$, use the rule $a^m\times a^n=a^{m + n}$, so $b^1\times b^{32}=b^{1 + 32}=b^{33}$.

Step3: Combine results

Combine the coefficient and the variable part: $36b^{33}$.

Answer:

$36b^{33}$