Question

simplify. express your answer using positive exponents.
$10uvw^{7} \cdot 10u^{8}vw$

Explanation:

Step1: Multiply the coefficients

$10 \times 10 = 100$

Step2: Combine $u$ terms (add exponents)

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

Step3: Combine $v$ terms (add exponents)

$v^1 \times v^1 = v^{1+1} = v^2$

Step4: Combine $w$ terms (add exponents)

$w^7 \times w^1 = w^{7+1} = w^8$

Step5: Combine all simplified terms

$100 \times u^9 \times v^2 \times w^8 = 100u^9v^2w^8$

Answer:

$100u^9v^2w^8$