Question

multiply.
$4y \cdot 4u^{6} \cdot 3y^{8}u^{5}$
simplify your answer as much as possible.

Explanation:

Step1: Group constant and variable terms

$(4 \times 4 \times 3) \times (y \times y^8) \times (u^6 \times u^5)$

Step2: Calculate product of constants

$4 \times 4 \times 3 = 48$

Step3: Combine $y$-terms via exponent rule

$y^1 \times y^8 = y^{1+8} = y^9$

Step4: Combine $u$-terms via exponent rule

$u^6 \times u^5 = u^{6+5} = u^{11}$

Step5: Multiply all simplified terms

$48 \times y^9 \times u^{11}$

Answer:

$48y^9u^{11}$