Question

simplify. express your answer using positive exponents. (4t)(3t^6)

Explanation:

Step1: Multiply coefficients

Multiply 4 and 3: $4\times3 = 12$.

Step2: Multiply variable terms

When multiplying like - bases ($t$ and $t^6$), use the rule $a^m\times a^n=a^{m + n}$. Here $t=t^1$, so $t^1\times t^6=t^{1 + 6}=t^7$.

Step3: Combine results

Combine the coefficient and the variable term: $12t^7$.

Answer:

$12t^7$