Question

simplify. express your answer using positive exponents. (10t)(4t^{7})

Explanation:

Step1: Multiply constant coefficients

$10 \times 4 = 40$

Step2: Combine variable terms

Recall $t = t^1$, so $t^1 \times t^7 = t^{1+7} = t^8$

Step3: Combine results

Multiply the coefficient product and variable product.

Answer:

$40t^8$