Question

simplify. express your answer using positive exponents. 3a³b⁵c²·4ab⁹c⁸

Explanation:

Step1: Multiply coefficients

Multiply 3 and 4: $3\times4 = 12$.

Step2: Apply exponent - rule for same - base variables

For $a$, we have $a^{3}\times a=a^{3 + 1}=a^{4}$ (using the rule $a^{m}\times a^{n}=a^{m + n}$).
For $b$, we have $b^{5}\times b^{9}=b^{5+9}=b^{14}$.
For $c$, we have $c^{2}\times c^{8}=c^{2 + 8}=c^{10}$.

Answer:

$12a^{4}b^{14}c^{10}$