Question

simplify. express your answer using positive exponents. (6a^75)(9a)

Explanation:

Step1: Multiply the coefficients

$6\times9 = 54$

Step2: Use the product - rule of exponents

$a^{75}\times a^{1}=a^{75 + 1}=a^{76}$ (since $a^m\times a^n=a^{m + n}$ and $a=a^1$)

Step3: Combine the results

$54a^{76}$

Answer:

$54a^{76}$